I would opine that if your back muscles were properly engaged then the ‘push’ of the bow arm would go away. On YouTube, Clay Hayes has some very straightforward videos on engaging your back that really make it easy for people to understand, as per direct feedback from people of whom I referred to them.
This is what I do with new(er) archers ... put your bow in both hands, palms over, & dropped in front of you. Raise arms with hands up & elbows out the side, at shoulder level. Now pull ‘lightly l’ the bow against your forehead and try to ‘bend the bow’, feeling your back muscles engage. Use your elbows to initiate the force/movement, not the arms. That’s (back) what you should be drawing with and feeling ...
For me, performing bent over (flattened back) rear deltoid raises out the side, where I hold ‘up’ for a full count/pause ... pretending I’m squeezing or crushing something between my shoulder blades, has been a great training tool to be able to ‘feel’ the engagement. And of course there is the accompanying physical improvement benefit too!
But to properly LEARN the feel, start light in weight, really light ... just get used to that feeling of engagement. Please come back and let us know how you make out!