I said "take it out" if you were sure it was dead.
Physical scrape-off is done with an implement (guitar pick, razor blade, etc.) and again obviously where there is no living tissue left. The vinegar swab involves soaking a cloth wad with vinegar and then applying it to one algae-infested area and leaving it there for a bit. This is all done while the gorg is still sitting in the display --unless you are running a nano (in which case a gorg is pretty out of place) the acidity won't affect the whole-tank pH. Then, next day, move on to the next patch. Some people scrape then swab.
Works best while the pumps are off, so the vinegar doesn't get rinsed out right away. Again this is all about a patchwork of dead and live areas...
If there's a WHOLE branch that's healthy, I'd just as soon cut it off and attach it to a rock via plastic cable tie, and let it try to grow
Generally speaking gorgs don't withstand emersion too well, but I've done it unintentionally at times, and the specimen turned out none much worse for wear. It depends how healthy the specimen is and how dry the air is and how long it's hung out there...blah blah blah
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Many gorgs are among the hardest inverts to keep happy in a tank. Make sure your water params are okay by them and you have an accdeptable food for them, before taking any gorgs on.
horge