Why is it toxic for me to need to push my code to a git repo if I start using it in my services, if I'm not trying to act as a for-profit corporation?

How so? You might be thinking of SSPL.

No. There's no restriction of usage in the (A)GPL. Anyone, including big corps, can use AGPL software. Preventing them to use the software is not the point neither. The point is trying to ensure end user freedom.

They just choose avoid agpl software. Their loss. Unfortunately they also spread FUD on this and many commenters here happily convey it.