Fizzle

I did do a search looking for this but could not find answers.

I have a small mat and i have picked it up to discover dampness underneath.
My sis and I just got bigger mats and i wonder what you all do regarding the care?
If it is used on your Martelli table will it warp it?
I have those 6” plastic folding tables. Would it warp that?

I have learned that after use you should move it, stand it up maybe, so that it can breath and air dry?
So attaching it to a board or wood TV tray would probably not be a good idea?

If anyone has any helpful info it would be appreciated.

Thank you all.