JavaScript (ES6), 835 670 547 446 bytes

Attempt 4

(d=document).body.appendChild(c=d.createElement`canvas`)
c.width=c.height=555
z=c.getContext`2d`
e=(X,Y,f,g,h,i,x,y,o,w)=>{z.strokeStyle=o
z.lineWidth=w
z.beginPath()
z.moveTo(X*9,Y*9)
z.bezierCurveTo(f*9,g*9,h*9,i*9,x*9,y*9)
z.stroke()};b=(X,Y,f,g,h,i,x,y)=>{e(X,Y,f,g,h,i,x,y,"red",29)
e(X,Y,f,g,h,i,x,y,"tan",21)}
b(24,24,u=27,u,u,30,29,33)
b(13,0,12,51,42,5,s=19,r=15)
b(20,14,~u,70,72,59,u,22)
b(r,q=11,21,q,s,r,25,20)
b(23,22,s,17,1,q,12,q)

Attempt 3

var c = document.createElement('canvas')
document.body.appendChild(c)
c.width = c.height = 555
var z = c.getContext('2d')
function d(sX,sY,cX,cY,dX,dY,x,y,o,w) {
z.strokeStyle = o
z.lineWidth = w
z.beginPath()
z.moveTo(sX,sY)
z.bezierCurveTo(cX,cY,dX,dY,x,y)
z.stroke()
}
function b(sX,sY,cX,cY,dX,dY,x,y) {
d(sX,sY,cX,cY,dX,dY,x,y,"red",29)
d(sX,sY,cX,cY,dX,dY,x,y,"tan",21)
}
b(164,178,221,191,254,279,280,331)
b(144,0,120,521,427,71,165,141)
b(164,142,-205,453,602,687,282,228)
b(164,91,197,101,181,151,255,199)
b(227,233,211,183,21,123,141,85)

Attempt 2

var c = document.createElement('canvas')
document.body.appendChild(c)
c.width *= window.devicePixelRatio
c.height *= window.devicePixelRatio
var z = c.getContext('2d')
function d(sX,sY,cp1x,cp1y,cp2x,cp2y,x,y,o,w) {
  z.strokeStyle = o
  z.lineWidth = w
  z.beginPath()
  z.moveTo(sX,sY)
  z.bezierCurveTo(cp1x,cp1y,cp2x,cp2y,x,y)
  z.stroke()
}
function b(sX,sY,cp1x,cp1y,cp2x,cp2y,x,y) {
  d(sX,sY,cp1x,cp1y,cp2x,cp2y,x,y,"#000",29)
  d(sX,sY,cp1x,cp1y,cp2x,cp2y,x,y,"#FFF",21)
}
[[164,178,221,191,254,279,280,331],[144,4,120,521,427,71,165,141],[164,142,-205,453,602,687,282,228],[164,91,197,101,181,151,255,199],[227,233,211,183,21,123,141,85]].forEach(a => b(...a))

Attempt 1

const canvas = document.createElement('canvas')
document.body.appendChild(canvas)
canvas.width *= window.devicePixelRatio
canvas.height *= window.devicePixelRatio
const ctx = canvas.getContext('2d')
function c(sX, sY, cp1x, cp1y, cp2x, cp2y, x, y, c, w) {
  ctx.strokeStyle = c
  ctx.lineWidth = w
  ctx.beginPath()
  ctx.moveTo(sX, sY)
  ctx.bezierCurveTo(cp1x, cp1y, cp2x, cp2y, x, y)
  ctx.stroke()
}
function b(sX, sY, cp1x, cp1y, cp2x, cp2y, x, y) {
  c(sX, sY, cp1x, cp1y, cp2x, cp2y, x, y, "black", 29)
  c(sX, sY, cp1x, cp1y, cp2x, cp2y, x, y, "white", 21)
}

`164,178, 221,191, 254,279, 280,331
144,4, 120,521, 427,71, 165,141
164,142, -205,453, 602,687, 282,228
164,91, 197,101, 181,151, 255,199
227,233, 211,183, 21,123, 141,85`
  .split("\n")
    .forEach((line) => b(...line.split(",").map((p) => parseInt(p.trim(), 10))))

Pug/HTML 173 170 168 + CSS 59 = 232 229 227 bytes

Pug

svg(viewBox="-5 -2 14 27"): each p in ['M2 9v5M2 1C1-2-6 1-2 4','M0-2v10','M4 7c8 24-8 19-8 6S7 4 7 8','M7 8c0 5-7 5-7 0m2 1Q2 7-2 4M2 1 4 7']
 path.a(d=p)
 path.b(d=p)

CSS

.a,.b{fill:none}.a{stroke:red;stroke-width:2}.b{stroke:tan}

Try it online!

The compiled code is not a valid standalone SVG file, but needs to be rendered by a HTML browser. The result is scalable and has no fixed size, it rather depends on the available viewport.

If, for example, you assume a factor of 15 for scaling, the output has an overall size of 210*405px, a line width of 30px, and an inner distance in the main loop of 115px at the widest point. That is enough for a circle of radius 50.

With another small correction without change to the byte count, the circle now fits in the empty space.

-2 bytes with moving one vertex, and some more neutral optimizations elsewhere; -1 byte found by SvgPathEditor "Optimize" command.

-2 bytes by shifting the viewBox.

PowerShell (Windows and Core), 640 706 bytes

$m=[IO.MemoryStream]
$i=$m::new([Convert]::FromBase64String('H4sIAAAAAAAEAM2WwRnDIAhG707hHJzYf6qmfgI/gomkl3qoJvBAwGB7j4PpGtwSyT+I+DuGiFfheE0sP6t8ilUeNKZZmadOorLMNPZ0b8u7Tbc2dHgJQoA8VDaDOMfYv3lTW9e29JltFasgDHlEmaw6xLht8LtjfAjOvlZrEz2kwEWS1I3VMm5GfSUp0PzA0pLW01MIDD6odzsFiDnKout6LgintsGgPsyWzuH1Wrcd1aHOVrn53lEeshyY13anLYhtburfqK85arsQDognwCGHBDLHCEAF5i0ljbQGvcZecz+DxbQAWCY9WCCtNdVIaGkVMH5mxTNd4Zb+BG3sHMK+fMw8U/ldru1yD4SbB25EhrfabbMbUYdrzJl5sUZhxL8AzrsbH51uZBPVCQAA'))
$o=$m::new()
$g=[IO.Compression.GZipStream]::new($i,[IO.Compression.CompressionMode]::Decompress)
$g|% C*o $o
$g|% D*e
[console]::BackgroundColor=0
cls
$o|% T*y|%{$c=Switch($_){64{2};58{10};default{0}};[char]$_|Write-Host -F $c -B $c -N}

Try it online!

Edit: Bought color support for 66 bytes, fixed issue in PS on Windows 11

TIO has no color support, so the TIO link will show fiftythree shades of grey instead of three colors.
When pasted directly into a PowerShell console (or saved and run as script), it will show the bowline in green, light green, and black (just to remain in the ASCII art tradition).
With the console configured to the raster font 4x6, the rope's width of mostly seven characters will end up in the correct range.
The ASCII art could be golfed a bit further, but who's counting? 640706 kilobytes ought to be enough for anybody.

The only lines where some actual code golfing could take place is

$g|% C*o $o
$g|% D*e
$o|% T*y|...

which ungolfs to

$g | ForEach-Object -MemberName CopyTo $o
$g | ForEach-Object -MemberName Dispose
$o | ForEach-Object -MemberName ToArray

which are more complicated versions of

$g.CopyTo($o)
$g.Dispose()
$o.ToArray()

With a little help of https://www.asciiart.eu/image-to-ascii

Ruby, 318 bytes

s="<svg width='400'height='600'><path fill='none'stroke='%s'stroke-width='%d'd='M#{'M0AvqmAYvVmAYvDsA___h_s_A_#v#sA#"#m)Ah:0m)As"A"_vJ0sJ0_0Y0Av<0sA###h/m)Ah>s#A%#v-sA#!#h>m?Ah-m?Ah>s!A!_vZsA_a_h_s_A__vDmAYvM'.chars.map{|j|"hms0v".index(j)?j:" "+(j.ord-65).to_s}*""}'/>"
$><<s.tr(?m,?l)%["red",24]+s[29..-1]%["tan",20]

Try it online!

Same as below but with compression of the path definition. The characters hms0v from the magic string are passed straight through (0 appended to small numbers to make bigger ones.) All other characters are converted to a (positive or negative) number equal to their ascii code minus 65. A space is prepended to numbers for separation. The SVG produced is essentially the same as below, except that the separators between numbers are all spaces.

Ruby, 373 367 bytes

s="<svg width='400'height='600'><path fill='none'stroke='%s'stroke-width='%d'd='M120,0v48m0,24v21m0,24v3s0,30 30,30h30s30,0 30-30v-30s0-30-31-30m-24,0h-70m-24,0s-31,0-31,30v90s90,300 240,0v-50s0,-30-30-30h-18m-24,0h-3s-30,0-28-30v-20s0,-30-32-30h-3m-2,0h-20m-2,0h-3s-32,0-32,30v25s0,30,32,30h30s30,0,30,30v3m0,24v12'/>"
$><<s.tr(?m,?l)%["red",24]+s[29..-1]%["tan",20]

Try it online!

Ruby code prints the following SVG image code to Stdout:

<svg width='400'height='600'><path fill='none'stroke='red'stroke-width='24'd='M120,0v48l0,24v21l0,24v3s0,30 30,30h30s30,0 30-30v-30s0-30-31-30l-24,0h-70l-24,0s-31,0-31,30v90s90,300 240,0v-50s0,-30-30-30h-18l-24,0h-3s-30,0-28-30v-20s0,-30-32-30h-3l-2,0h-20l-2,0h-3s-32,0-32,30v25s0,30,32,30h30s30,0,30,30v3l0,24v12'/><path fill='none'stroke='tan'stroke-width='20'd='M120,0v48m0,24v21m0,24v3s0,30 30,30h30s30,0 30-30v-30s0-30-31-30m-24,0h-70m-24,0s-31,0-31,30v90s90,300 240,0v-50s0,-30-30-30h-18m-24,0h-3s-30,0-28-30v-20s0,-30-32-30h-3m-2,0h-20m-2,0h-3s-32,0-32,30v25s0,30,32,30h30s30,0,30,30v3m0,24v12'/>

A 3-coloured, graphical answer, in accordance with the spec. The knot is a bit squarish but there's nothing against that in the spec.

A thick red path with a thinner, broken tan path on top. Red and tan are the two shortest colour names in SVG. The Ruby code contains the path for the tan curve only. The red path is generated by substituting the gaps (m for move) with lines (l for line) in the path definition.

Wolfram Language (Mathematica), 84 bytes

ImageTake[KnotData@{6,2},{80,6!},6!]~Show~Graphics@{White,Cuboid[{350,6!},{6!,600}]}

As usual, a builtin! KnotData@{6,2} is the bowline knot \$6_2\$ (with its ends attached). ImageTake clips the top of the image to create two rope ends; then a white rectangle (Cuboid) is superimposed to create a short end of the rope that doesn't touch the edge of the image. 6! is just a shorter way of writing \$720\$ which is a large enough coordinate for these purposes.

AWK, 6306 3990 bytes

func p(X,Y){for(s=Z;X--;)s=s Y;return s}func f(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T){return p(A,(k=" "))p(B,(l="#"))p(C,k)p(D,l)p(E,k)p(F,l)p(G,k)p(H,l)p(I,k)p(J,l)p(K,k)p(L,l)p(M,k)p(N,l)p(O,k)p(P,l)p(Q,k)p(R,l)p(S,k)p(T,l)}BEGIN{OFS=RS;print f(56,1,10,2),f(56,1,10,2),f(56,1,10,2),f(56,1,10,2),f(56,1,10,2),f(56,1,10,2),f(56,2,9,2),f(56,2,9,2),f(56,2,9,2),f(56,2,10,1),f(56,2,10,1),f(56,2,10,1),f(56,2,10,1),f(56,2,10,1),f(57,1,10,1),f(57,1,10,1),f(57,1,10,1),f(57,1,10,2),f(57,1,10,2),f(57,1,10,2),f(57,1,10,2),f(57,1,10,2),f(57,2,9,2),f(57,2,9,2),f(57,2,10,1),f(57,2,10,1),f(57,2,10,1),f(57,2,10,1),f(57,2,10,1),f(57,2,10,1),f(57,2,10,1),f(55,4,10,2),f(49,5,3,2,10,3),f(46,3,8,2,10,2,1,4),f(44,3,10,2,10,2,5,3),f(43,2,12,2,10,2,8,2),f(42,2,13,2,10,2,10,2),f(41,2,14,2,10,2,12,2),f(40,2,11,6,10,2,14,2),f(40,1,11,2,4,1,10,3,14,2),f(39,2,10,2,5,1,10,2,1,2,13,2),f(39,2,10,1,6,1,10,1,4,2,12,2),f(39,2,10,1,6,1,10,1,6,2,10,12),f(39,2,10,1,6,1,10,2,3,5,10,2,10,5),f(40,1,10,2,5,1,10,5,4,2,10,1,15,4),f(40,2,10,2,3,2,8,4,7,2,10,2,18,3),f(41,1,12,2,1,2,6,3,11,2,10,2,20,2),f(41,2,12,4,3,3,15,2,11,2,21,2),f(42,2,13,6,17,2,11,4,20,2),f(43,2,14,3,16,4,12,8,17,1),f(45,2,15,3,10,3,3,2,13,2,5,3,14,2),f(47,2,16,3,4,2,9,1,14,2,6,2,13,2),f(48,3,17,4,12,2,14,2,6,2,12,2),f(50,3,18,3,11,2,15,2,6,2,11,1),f(51,4,19,4,9,2,15,2,5,2,11,1),f(50,2,3,3,20,3,8,2,15,2,4,2,10,2),f(48,2,8,3,20,3,7,2,15,2,3,1,10,2),f(47,2,11,4,20,3,6,2,15,5,10,1),f(45,2,13,2,2,3,20,2,6,2,15,3,10,1),f(44,2,12,4,5,4,18,2,6,2,14,2,10,1),f(43,2,12,5,8,4,17,2,6,2,12,2,10,1),f(42,2,12,1,4,1,10,5,16,2,6,2,9,2,10,2),f(41,2,11,2,5,2,10,1,3,3,14,2,7,2,7,2,10,2),f(40,1,12,2,7,1,10,2,5,2,14,2,7,2,4,2,10,2),f(38,2,12,2,8,2,10,2,6,2,14,2,7,5,11,4),f(37,2,12,1,11,1,11,2,7,2,13,2,8,2,11,2,2,3),f(36,2,12,1,12,2,11,2,8,2,12,2,7,1,11,2,5,3),f(35,2,12,1,14,2,11,2,8,2,13,2,3,2,11,2,9,2),f(34,2,11,2,16,2,12,2,8,2,12,5,11,2,12,3),f(33,2,11,2,18,2,13,2,7,2,12,2,12,2,16,2),f(32,2,11,2,20,2,14,3,6,2,7,3,13,5,16,3),f(31,2,11,2,23,1,15,4,4,2,3,4,14,2,4,2,17,3,8),f(31,1,11,2,25,2,17,9,17,2,7,2,18,2,6),f(30,1,11,2,28,2,39,2,11,3),f(29,1,11,2,31,2,35,3,15,2),f(28,1,11,2,34,3,29,6,17,3),f(27,2,11,1,38,3,23,4,4,2,19,3),f(26,2,11,1,42,4,16,4,8,2,21,3),f(25,2,11,2,46,18,11,2,23,4,8),f(24,2,11,2,64,2,11,2),f(24,1,11,2,66,2,11,2),f(23,2,10,2,68,2,11,2),f(22,2,11,1,70,2,11,2),f(22,1,11,1,72,2,11,1),f(21,1,11,2,73,2,11,1),f(20,2,10,2,75,1,12,1),f(19,2,11,1,77,1,11,2),f(19,1,11,2,78,1,11,2),f(18,2,10,2,80,1,11,2),f(18,1,11,1,81,2,11,2),f(17,2,10,2,82,2,11,1),f(16,2,10,2,84,2,10,2),f(16,1,11,1,86,1,11,2),f(15,2,10,2,87,1,11,1),f(15,1,11,1,88,2,10,2),f(14,2,10,2,89,2,10,2),f(14,1,11,1,91,1,11,1),f(13,2,10,2,91,2,10,2),f(13,1,11,1,93,2,10,2),f(12,2,10,2,94,1,11,1),f(12,2,10,1,95,2,10,2),f(12,1,10,2,96,1,11,1),f(11,2,10,2,96,2,10,2),f(11,2,10,1,98,1,10,2),f(11,1,10,2,98,2,10,1),f(11,1,10,2,99,1,10,2),f(10,2,10,2,99,2,10,1),f(10,2,10,1,100,2,10,2),f(10,2,10,1,101,1,10,2),f(10,2,10,1,101,2,10,1),f(10,2,9,2,101,2,10,1),f(10,2,9,2,101,2,10,1),f(10,2,10,1,102,1,10,2),f(10,2,10,1,102,1,10,2),f(10,2,10,1,102,1,10,2),f(11,1,10,2,101,1,10,2),f(11,1,10,2,101,1,10,2),f(11,2,10,1,101,1,10,2),f(11,2,10,2,100,1,10,2),f(12,1,10,2,100,1,10,2),f(12,2,10,1,100,1,10,2),f(13,1,10,2,99,1,10,2),f(13,2,10,1,98,2,10,1),f(13,2,10,2,97,2,10,1),f(14,2,10,2,96,2,10,1),f(15,1,11,1,96,1,10,2),f(15,2,10,2,94,2,10,2),f(16,1,11,2,93,2,10,1),f(17,1,11,2,92,1,10,2),f(17,2,11,1,91,2,10,2),f(18,2,11,1,90,1,11,1),f(19,1,12,1,88,2,10,2),f(20,1,12,1,87,1,11,1),f(21,1,12,1,85,2,10,2),f(21,2,12,1,83,2,11,1),f(23,1,12,2,81,1,11,2),f(24,1,12,2,79,2,10,2),f(25,1,12,2,77,2,11,1),f(26,2,12,2,74,2,11,2),f(27,2,12,2,72,2,11,2),f(28,2,13,2,69,2,11,2),f(30,2,13,2,66,2,11,2),f(31,2,13,3,63,2,11,2),f(32,2,14,3,59,2,12,2),f(34,2,14,3,56,2,12,2),f(36,2,15,2,52,2,13,2),f(37,3,15,3,47,2,14,1),f(39,3,16,3,41,3,14,2),f(41,3,17,4,34,3,16,2),f(43,3,19,5,25,4,17,2),f(46,2,22,7,11,7,19,2),f(48,3,30,4,27,2),f(51,3,55,3),f(54,3,49,3),f(58,4,41,3),f(62,5,32,4),f(67,6,19,6),f(75,15)}

Attempt This Online!

Code could be shorter, but wanted high 'fidelity' for the image.

Previous attempt

func f(n){for(s="";n--;)s=s" ";return s}
BEGIN {OFS="\n"
print f(56)"#"f(10)"##",f(56)"#"f(10)"##",f(56)"#"f(10)"##",f(56)"#"f(10)"##",f(56)"#"f(10)"##",f(56)"#"f(10)"##",
f(56)"##"f(9)"##",f(56)"##"f(9)"##",f(56)"##"f(9)"##",f(56)"##"f(10)"#",
f(56)"##"f(10)"#",f(56)"##"f(10)"#",f(56)"##"f(10)"#",f(56)"##"f(10)"#",
f(57)"#"f(10)"#",f(57)"#"f(10)"#",f(57)"#"f(10)"#",f(57)"#"f(10)"##",
f(57)"#"f(10)"##",f(57)"#"f(10)"##",f(57)"#"f(10)"##",f(57)"#"f(10)"##",
f(57)"##"f(9)"##",f(57)"##"f(9)"##",f(57)"##"f(10)"#",f(57)"##"f(10)"#",
f(57)"##"f(10)"#",f(57)"##"f(10)"#",f(57)"##"f(10)"#",f(57)"##"f(10)"#",
f(57)"##"f(10)"#",f(55)"####"f(10)"##",f(49)"#####"f(3)"##"f(10)"###",f(46)"###"f(8)"##"f(10)"##"f(1)"####",
f(44)"###"f(10)"##"f(10)"##"f(5)"###",f(43)"##"f(12)"##"f(10)"##"f(8)"##",
f(42)"##"f(13)"##"f(10)"##"f(10)"##",f(41)"##"f(14)"##"f(10)"##"f(12)"##",
f(40)"##"f(11)"######"f(10)"##"f(14)"##",f(40)"#"f(11)"##"f(4)"#"f(10)"###"f(14)"##",
f(39)"##"f(10)"##"f(5)"#"f(10)"##"f(1)"##"f(13)"##",
f(39)"##"f(10)"#"f(6)"#"f(10)"#"f(4)"##"f(12)"##",
f(39)"##"f(10)"#"f(6)"#"f(10)"#"f(6)"##"f(10)"############",
f(39)"##"f(10)"#"f(6)"#"f(10)"##"f(3)"#####"f(10)"##"f(10)"#####",
f(40)"#"f(10)"##"f(5)"#"f(10)"#####"f(4)"##"f(10)"#"f(15)"####",
f(40)"##"f(10)"##"f(3)"##"f(8)"####"f(7)"##"f(10)"##"f(18)"###",
f(41)"#"f(12)"##"f(1)"##"f(6)"###"f(11)"##"f(10)"##"f(20)"##",
f(41)"##"f(12)"####"f(3)"###"f(15)"##"f(11)"##"f(21)"##",
f(42)"##"f(13)"######"f(17)"##"f(11)"####"f(20)"##",
f(43)"##"f(14)"###"f(16)"####"f(12)"########"f(17)"#",
f(45)"##"f(15)"###"f(10)"###"f(3)"##"f(13)"##"f(5)"###"f(14)"##",
f(47)"##"f(16)"###"f(4)"##"f(9)"#"f(14)"##"f(6)"##"f(13)"##",
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Attempt This Online!

Lol.... gaze upon this monstrosity.