In general relativity, the causal structure of spacetime traps things behind a horizon. No rocket can overcome that.
Think of general relativity as laying out rules for how things are allowed to move. The rules in a black hole spacetime simply don’t allow trajectories that pass behind the horizon of a black hole and then make it back outside. Once something crosses over, the only allowed motions take it further in.
I recently posted an illustrated thread about this!
https://mastodon.social/@mcnees/111410664694892538