I do not suggest trying to go to any TS location without an ADR. Except for Landry properties with a Landry card and maybe a couple of the non Disney owned locations at Epcot or DS.
Your so much wiser to open the app, pull up the Reservation page and look for an ADR
Odds are, you can find one for that day. If you can't, it's because they don't have space. If they don't have space then they can't really take a walk up either.
We never make ADR earlier than the day before. Most of the time, we open the app, find what has an ADR for an hour or so out and book it. We eat 99% TS and 1% QS using that method. So that should tell you how much TS there is out there with short notice. MM is one we eat most trips too, it's a favorite of ours.