Help to ID logic board to its original parts assembly from factory?

I’m hoping someone knows if there is some way I can ID and confirm that the logic board inside of my phone is the original logic board to that phone. I’m hoping there is a serial number marked on it or assigned to it or any way to identify which phone from which the logic board came from.

Basically I brought my broken (back glass smashed, front glass works, shows apple symbol when connected to power but doesn’t turn on) iphone 13 to be diagnosed and repaired and was told it needed a battery and back glass. Then I brought it somewhere else to get repaired and they diagnosed it with a logic board replacement. Now I’m curious as to whether they swapped out my logic board or if the first person just didn’t know what they were doing. I don’t know what to think. I’m just trying to make sure that my logic board wasn’t stolen and swapped with a broken one. Any help would be much appreciated. Thanks.