Over Contributed to 401k and past the deadline to return excess

Hello, I changed jobs in 2021 and ended up over contributing about $2k towards my 401k for CY 2021. I missed the deadline to return excess contribution (April 15) . I now have an excess contribution towards my 2021 401k and since I am past the deadline my company plan administrator cannot return the excess.

 

In reading related questions on this forum I see the path forward is to just leave the excess contribution in my account.

1. Do I need to file an amendment on my 2021 taxes to report this or do I just address it in my 2022 taxes? 

2. How do I ever correct the excess? Don't want to have to continue to pay a penalty every year till I finally can withdraw (past 59.5 years).

 

Thanks in advance!