Would not paint the concrete and brick pool deck -- everything painted will, inevitably, need to be repainted and can get to looking really bad as it gets that way. Also, painted concrete can get really slippery -- and unsafe.

Instead, pressure wash it and immediately seal it w/clear sealant before it can get dirty.

Lots of different kinds from which to choose -- pick one that works well on both brick and concrete or just seal the concrete and leave the brick natural.

clear sealant for exterior concrete - Bing images

Paint will flake and chip forever. Every day it will look worse and worse. Then it gets painted again and the cycle starts over.

Maybe look into a color from Romabio - it's made specifically masonry like brick: https://romabio.com/masonry/

Please don’t paint this!

I would not paint that. You might consider staining it. That could work. But being next to your pool, this requires a professional to pull of a proper prep, pool protection and figuring out the right color that works with your brick , pool and house. Might get a good pool company to come out and give you recommendations. They know latest greatest products and methods. Do be careful. Not a DIY project.