OMG. Your seller's repair is laughable, there could be a musroom farm
down there.

You definitely should not put down anything on the floor if there's a
moisture problem. Carpet will turn to a mold substrate, tiles will
come unglued.

I would rip out the seller's craptastic effort, and then find out what
is causing the moisture. Could be bad gutters, bad drainage, or
sometimes that's just the way it is.

I fyou used a Realtor when buying this house, and they thought tarpaper
and a wood floor was ok, then they, like most Realtors, are an idiot.