One additional indicator on the number of AC rooms is the door label.
In ,Mudd the ACR is specifically named in the script (and located on Deck 8) but all we get is this rather generic door sign:
In The Way To Eden we finally see a custom label and while slightly out of focus it can be read:
Here is my recreation:
The usage of the "2" might mean that it's the second control room after the Bridge, or that it's the second Auxiliary Control Room on the ship in total.
The addition of the "E" is consistent with my notion that the double pocket-door version is an ACR located in the Engineering Hull. It could also be just a happy coincidence!
In ,Mudd the ACR is specifically named in the script (and located on Deck 8) but all we get is this rather generic door sign:

In The Way To Eden we finally see a custom label and while slightly out of focus it can be read:


Here is my recreation:

The usage of the "2" might mean that it's the second control room after the Bridge, or that it's the second Auxiliary Control Room on the ship in total.
The addition of the "E" is consistent with my notion that the double pocket-door version is an ACR located in the Engineering Hull. It could also be just a happy coincidence!

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