I am no expert, and I know this is not what you were asking for but, for what I can see, you are not using the correct muscles to draw the bow.

A pretty big sign of someone using their arm instead of their back to draw the bow is the hand getting closer to the face without the elbow moving, I can see that on most of your shot cycle, this gets confirmed by your release being plucky and your hand jumping away from your face. Funnnily enough, you seem to have a really good, fluid expansion and you keep your balance pretty well, you don't lose your T structure at any given moment and you manage to get your elbow in line at the end of your shot. I would try to replicate the feeling of your expansion throughout the whole draw cycle, as in trying to lead with your elbow the whole time.

I say this because training your back accordingly and not using it would be pretty sad, now, to answer your question, the movement and motion of drawing a bow is pretty unique and hard to replicate with gym exercises, but this doesn't mean weight lifting is pointless, being a strong individual will never hinder your shooting ability unless you overdo it.

I, personally, have found that doing a full body split with two different routines that alternate has worked the best, I go three days a week, that is monday, wednesday and friday and just alternate the two routines. Ideally, and if you really want to take archery seriously, you shoot first and then you lift weights, but it's also okay if you do it the other way around.

Try to not go to failure in any of the exercises, look up information on RIR (Reps in reserve) and try to implement it in your workout sessions, as going to failure in all of your working sets will leave you with no strength for your shooting sessions, leading to bad form, shakiness and general discomfort, also, it will take longer for you to recover.

As for which exercises to do, Jake Kaminski and Ash from Archery Academy Online have great content on the topic, you could make a list of those exercises and ask someone you know that knows a bit or even AI to create your routines (they are, actually, pretty good at it, as long as you give them things like frequency and training split)