I've only been growing BRTs for ~5 years, and my growing seasons are comparatively short. So, take what I say with a grain of salt. But the growth habit on these is such that you're constantly fighting a not-small battle with no taper or reverse taper on the trunk. It's not unusual at all to see a BRT with a much wider trunk at the first branch. To some extent, you just embrace the fluted way that they grow, which can make inverse taper from some viewing angles but not others. But, sometimes, the advice is to leave a sacrifice branch, or branches, particularly down low, and then cut it off before the wound is going to be huge to introduce trunk taper. They *do* heal wounds, but slowly.
So, if you can hide the wound to the back, or live with it, or wait 10 years to heal it, you could lop that low branch off. I'm also told that these air layer like it's their job, though I have not tried it myself. I also 100% ignore the advice to leave a stub if it's a big branch removal, and have never had adverse effects. I prune flush or concave with cut paste. No issues.
All that said, it is a fantastic species. I wouldn't be afraid to cut the right and middle lower branches, but it might take a long time until that heals.