Sounds exciting!! I think there isn’t a quota per say of “too much” teal, but I would play around with different tones of the color. A bright, bold teal is great for one statement piece, and in smaller accents, but if you want to have teal play a larger role in the room, I would focus on playing with more washed out or paler (or darker!) tones.
The white and gray will be nice neutrals to play the color of the teal off of. I think you’re onto a great concept! Excited to see how it comes out!