How to set up a CGE scrubber room?

I am planning on moving within the upcoming months... With my move comes the monumental task of constructing a new room for some new ladies.

For my second room, I would like to test my hand at a sealed/closed grow environment. I've been looking through diagrams, photographs, and forum posts but I still can't wrap my mind around how to ventilate. Let me elaborate.

My setup would have three rooms:
Room A: My vegetation room (From my understanding, it would be unnecessary to seal this room. This room will be open to outside air.)
Room B: Scrubber room (This room will contain A/C, Heater, Humidifier, Dehumidifier and the door to room C.)
Room C: Flower room

Ideally, air from outside the rooms would be brought into room B, conditioned to proper RH and temperatures, and blown into room C.

Trying to formulate where to put all this air REALLY confuses me. What is the most efficient way to do this? Would I supplement C02 in room B or C? How will I cool my lights? Any help is greatly appreciated.

Could I hook up two electric backdampers between rooms B and C? Both with fans, one functioning as an intake and another an exhaust into/out of the flower room?

For example, if the rh/temp was too low in room c, air would be brought in from room b, and if it was too high, it would be expelled??!

excellent questions, curious about this myself right now too, hopefully someone answers soon.

I'd run a cap box like this to run to the fans btwn room b and c View attachment 2590394 this is over kill but the make rh/temp ones singled out i love this one though 4 yrs old no probs for faning lights i pull from under the house and push it through i know i know dont push air im going to move it to a puller View attachment 2590399 in the right corner it has a inline filter