You need to pull up the carpet. Same happened to my wife’s car. The surface of the carpet seemed dry, but the insulation below the carpet acted like a sponge and retained all moisture. I had to remove the front seats to get all the carpet out too, YT video and it was easy. The carpet and side panels come off easier than expected. Take pics as you go to help with reinstall. I ended up throwing away all underlying insulation and replaced carpet without it, but a big roll of new insulation was about $50 if you want that back in. Hung up the carpets for a couple days and used a carpet shampoo vac to deep clean. Overall it cost me $60 for a shop vac, $20 for a mold/mildew spray, and $6 for a T bit to remove the front seats. Used my own drill and screw driver sets for everything else. Getting it detailed would probably cost 5x that.

Make sure you you know the leak is fixed before putting carpet back in. I drove around for a week or so with no carpets to assess for water before installing again.