AC Auto Button will not work

Hello everyone I have a 2011 Prius Four and I bought it a few months back for heavy amounts of driving. Well upon buying it I knew it had a few issues and the Auto Button was one of them and I'm not exactly sure how to fix this issue but if I could get some troubleshooting help it would be appreciated. I have scoured the internet for my exact issue and I seem to be the first to encounter my AUTO ac button not working or turning on. Basically, the issue is exactly as it sounds I hit the AUTO button on my AC cluster and it does NOTHING no light just nothing but every other button on the AC cluster works fine. Additionally I have test both AC related fuses in the driver side fuse panel and in the engine bay fuse panel both tested for continuity and both work fine.

 

Yes presently every other button on the AC cluster and in the car works fine the AUTO button is the only one that does not.

 

So I disassembled it and cleaned the button and nothing worked still so I’m thinking it’s just a dead motherboard cause nothings blocking the button or making it not click on except the motherboard itself

 

Auto button pictured here nothing wrong with it that I can see