I wondered why Max didn't plop Luna into a tepid bath. That's the way we used to cool down kids, not stick them in front of an air conditioner.
I also wonder why it was Gwen taking Luna outside when Max was at home. Isn't that why he brought her back from CT?
I wondered if this was going to play into Max's problems with finding someone to look after Luna, leading him into some kind of epiphany. The case was very similar to his own -- single parent, busy doctor, difficult to find stable childcare as Covid blows hot and cold.