Not late as I've not actually done anything yet!
I'm vegan though so hide glue doesn't sit comfortably with me (not that I know for sure modern variants are made with animal substrates).
For context this is for refitting mouldings around glazing in an external door. They were originally held in with what felt like a type double sided tape. It was strong enough, but pulled apart relatively easily and was somewhat elastic. I think I'm just going to use veneer pins when I fit them back.