this is, as
@Paul B says,
in my opinion:
honestly, it's a reef tank, so you are
going to get algae at some point (from now until infinity), so while you can't treat every "occurrence" unless you are obsessive about it, it's good that you are keeping an eye on your tank and noticing these things. You said you already dosed peroxide on it, so that's a great start. See if it works, it might do the trick. The other option is to slightly increase your cleanup crew, or to place the frag in a "fenced in area" with a snail or hermit crab and see if they will eat the algae for you (like a car detailer), in goes the algae, out comes the shiny spotless frag. The second option here (after simply monitoring the peroxide application), I kind of just made up on the spot and have not seen anyone actually do it before, but it's something I'm thinking about... maybe make a plastic mesh "box" and just stick it over the frag and stick a hermit crab in there and see if it works... What do you think about that idea? I might try it myself tbh...