He will still tire WAY faster then Batman will. Knowledge is one thing, but the willpower Batman possess? He isn't copying it. Eventually Prodigy will go down. And it's not like Batman isn't going to dodge and block his shots...after couple of attacks he gets that he is using HIS fighting style.
I can see Prodigy winning this with the knowledge advantage. He knows all of his moves, what he is going to do, how he is going to do it, and can plan accordingly
But the thing is, so does Batman. Prodigy simply possesses the KNOWLEDGE of Batman. He doesn't have anything extra on him. Batman has the knowledge AND far superior experience and body.
Prodigy isn't going to outdo Batman using his own knowledge. It's a fight, and he is going to tire far, far faster then Batman will. He still has the body of a 16 year old, and he isn't able to perform every move of Batman with that body. Batman is pretty much peak human. Prodigy isn't. Every kick, punch, throw etc. he will do, will be only about one sixth of what Batman will do.
And two or three hits and Batman will recognize the pattern and that he is using his own punches and kicks against him. And after that, every. single. hit Prodigy is going to make will be either dodged or blocked.
I dont really want to get into a full fledged debate about it, but if Batman decided to do that, then Prodigy would know and then make Batman go on offense by going himself on defense
Also he would be able to use the environment to his advantage (like Batman would). And if Batman decided to use the environment, Prodigy would know, and be able to react accordingly (such as he did by dodging lightning).
There is no way that Prodigy, a 16 year old, is going to take down Batman. Batman's large advantage in physical stats will wipe out Prodigy. Also, is this only H2H?