Are swim towels still provided free at the pools? (I couldn't find a post covid-era answer from the past 2 years). I'm just trying to figure out if I should pack ours

Yes. Just use your room key.

Yes.

Yes, your room key can access a glass door hut at each pool & you can take as many towels as you need

Yes, there's several areas across the property by the pools. You access with your room key.

Yes at the pool area