The stone is actually quite handsome; have you considered NOT painting the stone, but painting the brick to match? Or a lighter beige that is similar to, but not identical to stone? As Norwood Architects said, you can always plant vines (which comes from the saying "Doctors can always bury their mistakes, architects can only plant vines!") It does look in need of landscaping relief.

Stain the stone so not so high contrast.

try Crisp muslin to blend the brick to the stone

Personally I'm a huge fan of painted brick. I lived in a house that was painted Charcoal grey with bright white trim. One of my absolute favorite looks is brick painted white with black trim.....classy and timeless. I would paint everything, don't go with a natural color (like trying to match the stone) , go with the color you want your house. Yes, agreed it is permanent, even repainting another coat or color is a bad idea. One painting (meaning primer and two coats of your color choice) of paint on brick still allows the stone to show texture. If you start layering that up it looks cheap. Unless you have experience painting, you must hire a professional.

Hello. I would choose light-gray color for painting.

How does that work - only one painting allowed. What happens when it peels, fades, wears off from the rain, mildews? Or when the inevitable repointing/repair has to be done.

Granted, painted brick looks its most beautiful when most of it has worn off... in a poetic, bittersweet kind of way.