this is easy to fix if you want it done. I can tell by your pics that rock is accessible, can be lifted out. this particular singled celled macro is highly susceptible documented several times over with this little ace I keep up my sleeve
want it dead in 48 hrs> test peroxide on it. That stuff is massively susceptible to it, and nothing else in the tank is. can be considered a magic bullet for your particulars. we don't dump it in your tank, we test a single rock and establish proofs that don't affect the rest of your system
then we upscale
then I add another clean tank to page 70
the degree that id like to take on this challenge not knowing tank size, stocking density or any other factors is 100 degrees of certainty.
for starters
your invader is classed 100% as a requisite hitchhiker. You could add straight phosphate to my tank and never generate that, and in most other reefs. It must be brought in directly, and from that, we know not to try and nutrient starve it, nutrients didn't cause it.
its such an invader that when its truly beaten, and it doesn't root deep at all, it cannot come back. for sure grazers would want that.
tang keepers would want your rock, untreated, because its awesome for their niche
I like it too
but if you want it gone, did that already and documented in reefcentral huge peroxide thread in probably 2013 ish.
all you do is find one single test rock, any rock, with some of that growth on it.
lift it out of tank, spray peroxide or dribble it on the target let sit 3 mins, rinse off, put back and don't scrape the algae
chart its death for us in pics that's always fun, the test rock as it morphs into what you want.
later on, if it turns out your tank is huge, we'll run a dilution test rock which mimics the entire tank being dosed where you could kill it all at once. we may not need that way, especially if this is 50 gallons or less