ok I am going to say it, I told you so.. lol.. ok I didnt tell you but I always post to get AC in Paris
. Of course most hotels have it ( I always get it and I never stay in fancy or expensive hotels ever)
And I have also rented three apartments in Paris , all with AC. Its just non negoitable for me for any visit from june thru mid september.
Ok, now for a constructive comment.
Check out the Invalids Armee Musee. !!!
It has ac.. but its not really very good ( its NEVER very good in public buildings) however the museum is never crowded and there are these lovely cool marble ledges in many areas of exhibits that are cool to sit on.. been perched on those more than once. Its also an interesting museum .
I like Chexeres have ducked into grocery stores and hung out in the freezer sections . I get sick from heat and those places seem to be the only truly cool places to get relief.
I have also stuck my head under the taps for water in the Luxembourg Gardens. as I said. I get sick from heat easy.
I too would never venture to Versailles during a heat wave.. the palace is a sweaty mosh pit.