The lowest fat brioche is 20% and that’s good enough for me for a burger bun. I just don’t know you can call a bread with less than 20% fat a brioche. This is 20%:
Another of my favorite bread channels, Chain Baker, has a richer brioche bun here, easily cut in half (the eggs can be cut to 2 and made up with milk, or simply left as 2.5 and the other half used for egg washing later)
He has multiple burger bun recipes, but this is specifically a brioche one.