When I really like a puzzle I either copy paste its URL or recreate the same position on a private study, you can create one on lidraughts.
I do the same for puzzles on lichess as both sites do not have a way to save puzzles.
@dtop10 if you are on Google Chrome Browser, use the bookmark feature. How to use Bookmark? Just click on that star button (☆) beside the search panel and save it for future use.