Dead battery now a/c blows hot
 

Hey folks,
I have a 2013 C 300 4 Matic.
The other day the car wouldn't start, it was dead.
Jumped it and noticed the A/C wasnt working. I figured it maybe was due to the battery being dead.
Replaced the battery but the A/C still blows hot.
I thought maybe everything needs time to reset but after driving it about 45 mins and turning the A/C on and off, it isnt blowing cold.
The A/C worked fine until the dead battery issue.
Is it an unrelated issue that just happened at the same time, or are the 2 events related?
Any ideas as to my next course of action?
Thanks

Scanner says no communication with A/C module.
Looks like a dealer fleecing is in my cards.

Turns out rodents chewed through some wires.