Paint will not impact the function of the braid. However, you would not want to get any paint near the contact points of the braid and the other metallic items that the braid is electrically connecting to ground. It is possible that if this were to occur, the paint could act as an isolator and prevent the braid from being in electrical contact with other metallic components.

Given that the braid seems to be installed after any painting, from an aesthetic standpoint it may be a good idea to not paint the braid as this is not customarily done though there is no harm as long as the above guidelines are followed, it just may not look “right”. Hope that helps!