I would do a 1 ft X 1ft test on a bad spot with floor stripper and a red pad by hand to start. Have your wet vac ready to do a quick pick up. The floor has a finish so I think your OK with stripper or water sitting on it. The wet vac gives you control to try stripper, just water or some neutral cleaner, It might be soap buildup. Just do a couple of small test patches and it might surprise you and clean up nicely. But charge a lot because you will be the hero or you could have to do a lot of hard work.