I have identified that the bridge rectifier is bad. And I am working on pulling it out but I'm looking on mouser and Google to find a new one but I'm not sure on the specs. It reads that it's 2506 but there is like 50 and they all look similar and have slightly different specs. Which one do I need?
You probably need "GBJ2506 power rectifier 1000v 25A", that looks like this one
This will 99% work for you, I have yet to touch one but I know that
https://www.zeusbtc.com only sell spare parts that work for mining gears, and they have this product
https://www.zeusbtc.com/RepairDetails.asp?ID=101 and it matches the 2506 you got on yours.
Having said that and to be 100% sure, I suggest you talk to kevin or whoever is in charge, simply contact their support and ask if this would work on your APW8 or whichever PSU you are trying to fix, those guys know their stuff very well so I would trust whatever they got to tell you.