Corrected W2-- changes in FICA

Hi,

I am on an F1 visa and a RESIDENT alien for tax purposes, because of my previous residence in the US.

I learned that FICA was supposed to be withheld and talked to my employer (university). They sent me corrected W2s for 2022 and 2023. Only boxes 3, 4, 5, and 6 are changed: the boxes were previously all "0", but now show certain amounts.

1. Do I need to file an amended return? From what I learned, this does not affect my taxes, but I still feel like I need to report it since I received the corrected W2.

2. Do I need to pay the corrected FICA to the university I am employed at? How does this work?

Thank you in advance!