A leaning chimney in Dallas is usually a soil story, not a brick story. That matters, because rebuilding masonry on top of ground that is still moving buys you a handsome chimney and the same problem in five years. Part of the assessment here is establishing whether the movement has settled or is ongoing — and if the foundation is still working, that gets addressed before we lay a single course.
Where the damage is weather rather than movement, the fix is straightforward. Failed courses come down, new brick goes up on sound masonry, and the crown, flashing, and cap are renewed at the same time. If the chimney serves no appliance anymore — common in a city where fireplaces get lit a handful of times a year — price removal first. It ends the upkeep instead of restarting it, and in this much sun it often clears a rooftop solar array as well.