Yakitori House and Liberty Inn are indoors and air-conditioned. Yakitori House is small, though, and Liberty Inn serves the typical burgers/fries/nuggets.
Via Napoli in Italy (the new pizza place) is a TS, not a CS.
There is limited seating in the Rose & Crown pub, and for Boulangerie Patisserie (that seating is in a separate building).
That's it for air conditioning. Some of the other CS are semi-enclosed and have fans, but no AC.
We have yet to find out if the new Cantina de San Angel will have any access to indoor, air conditioned seating. It should open around September 16.