I haven't done jigsaw puzzles too often but I always took them apart.
If you put together puzzles, do you do them just to take them apart again or do you glue them and put them on your wall?
Always took them apart.
Always take them apart.
Take them apart with a spatula.
Back when our budget was much tighter, we used to glue them and hang them for our artwork. Plus it was cheap entertainment.