MacOS – Cannot Access Existing Recovery Partition – Early 2011 MacBook Pro

I have an Early 2011 Macbook Pro. I need to access the recovery partition for several reasons, such as turning off "SIP". Until now, every time I pressed
CMD+R during booting, it went directly to the internet recovery mode. That has never been a problem for me until now.
As you can see from this picture the partition exists :

However, not only it doesn't start with CMD+R. It also doesn't show as an option when I press opt . So I went in disk utility, run first aid and got the following output :

So I followed the instructions, went to (internet) recovery mode once again, and tried to fix it. Now this is the interesting part, according to the disk utility on internet recovery mode, there are no problems.

However, when I tried to mount the recovery partition (disk0s3) it failed. I also tried to reset the PRAM, but nothing changed.

I'm trying everything I can that doesn't involve reinstalling the OS, as last time I did that it took forever to copy my backup. However, I'm running out of ideas at this point.

If you have any suggestion and if you think you know what might be causing this, I would really appreciate it if you could let me know.

Thanks in advance!