Can I use a Re-Entry permit from my old Non O visa to re-enter Thailand after obtaining a new Non O visa?

Doubtful EITHER of those are actually Non-O visas 😮

And instead it sounds like you have a year extension that is valid until March 1st 2025 AND a re-entry permit valid until the same time.

Then it sounds like you already got a new yearly extension good until March 1st 2026.

That is a good question and I never had an instance that I can remember where someone got a new yearly extension

BUT

used the still valid re-entry permit from the previous years extension to exit/re-enter the country before that re-entry permit would expire..

It would most likely work 😕 Seeing as you are entering the country on or before the expiration of the still currently valid re-entry permit

AND

you'd get stamped in until March 1st 2026, the current expiration of your new extension.

I sure would ask the officer at passport control though BEFORE I stamped out

All it would take is for the officer to interpret that once you get a new yearly extension anything you got on the previous one is void to run you right off the rails 😮 If that was the case, it'd cancel your extension when you leave.