Depends, it's quite variable. Germany and Japan don't seem to have any interest in attacking us.

A new regime might just not care much what happened to the old one. Or maybe they do, but have other priorities, or learned lessons from the past.

Baby Milk Factories are a dime a dozen. They don't serve as particularly potent rally points unless there's enough of it happening to appear systematic and intentional. If the school is a lingering diplomatic sticking point after the dust settles the US can just pay compensation and apologize. It was of course an accident.

Worth noting, that as a matter of policy, I'd be opposed to compensation/apologies in cases where military targets were hiding under/inside schools, hospitals, etc. (SOP in Gaze for example). That just encourages the behavior. Also there are no LOAC protections when you do that.