Generally, paint is coordinated with furniture fabrics, rugs and other soft goods unless you are leaving the home empty for real estate sale. If you want to match some color from the brick, pick a shade that is neutral and not as pink as the rest of them. You might find that the color of the grout is your best bet for remaining neutral.

You should be able to find an acceptable shade of buff or light gray by working with the colors from the brick -- pick a half dozen of each and hold them up against the stone for comparison. That will make the stone look its best, and either option will be neutral enough to give you plenty of options for the rest of your decor.

Upload your picture to Sherwin Williams paint visualizer program [ https://www.sherwin-williams.com/visualizer/#] so you can apply color to it. The program isn't the greatest in applying color evenly, but I've found it helpful in seeing how different colors will look in a room.

Since you want choose a color based on the fireplace, you might think about going with an olive or gray green as they look very nice with most brick as it gives a good contrast.

Here's a SW "read" on your FP and surrounding colors that might help you get started with a color palette.