I think test rock approach. Bryopsis is on the upper challenging scale of invaders whether using kent tech m, peroxide, or any other mode we can see this invader is rather nutrient independent. We should work these amplifier approaches below on a test rock before taking up to the rest of the tank, these are things even beyond the dip you mentioned and are safe for the corals/
1. hand removing all invader before the work. Normally I like to leave GHA treatments in place, so the aftershots look all cool and stark in contrast to the before pics. GHA is not scary, easy to beat as invaders I list it as #1 easiest to beat back when external treatments are the mode. In your case we are anticipating growback, and acting accordingly to lessen it. You should literally clean the bryopsis off your test rock by hand, scraping around the base of the frag, rasping it off the rock. you may scratch your coralline etc while doing this. The logic is, we don't want to waste time with removable biomass, your entire efforts should go to holdfast attacking.
Notice how every method used so far is like a lawn mower effect maxxingout...even animals cut the tops off, the roots are left, the bryopsis comes back. What we do here is cellular lysis kill of algae, and since bryopsis is a staunch holdfast algae we need this prep work of pre removal to reduce the number of retreats you need. Since your tank has been like this for a little bit, a week or two of gauging a test rock isn't a big deal. If the test rock proves to growback too fast, you haven't wasted time with the rest of the tank.
I wouldn't dose anything to the water of a bryopsis tank, not even the Tech M approach. It would be 100% external treatments with either or both of these options, doing the work required to take out the rocks and pre remove invaders since its the best we currently have as options until these concentration ideas up above are honed.
2. Can consider higher percentages of peroxide, if the pre removal and 3% doesn't hold up well on the test rock (prevent growback by killing holdfasts buried in the rock) higher percentages of peroxide as external treatments take tanks that needed 3 retreatments on 3% down to zero retouches needed at times, peroxide work focused solely on 3% is incomplete, so consider that as well.
I got some peroxide at the base of my new sps frag when I was doing your type of dip as a pre screen before putting into my tank. Id scraped off all the little bryopsis from the pet store display and rinsed down the sink. I set the frag in a shot glass and used 3% to bake it, right up to the base of the coral and some did get on the coral, bleached and grew back on that area within two weeks.