What is your style? If you are more traditional or cottage, then the right answer might be a washed brick or antiqued brick look. The heavy beams and white stucco say this is not at all a contemporary house, so fully painted brick would want to be balanced with walls and casework that work with it. The black frame of the pizza oven and the deeper casework will read out strongly against white.

Is all the casework / cabinets in the room the tone of the bar? Then, instead, try a soft mid-tone taupe that you might use in the next room on the walls and wash the brick instead . . back with some color advice.