Fix crack in 5 panel door?
I am renovating my bathroom and will be stripping and repainting the original 5 panel door. I know at least one (and maybe 2) of the panels are cracked all the way across. The previous owner tried to cover it over with joint compound, which created a bump but didn't last. A permanent fix would be to cover it with mesh tape and then use joint compound to fill the whole panel, but that seems like a lot of work. Any other thoughts - maybe fill the crack with construction adhesive, or caulk?
Thanks in advance.