I physically ripped most of mine out by pulling on the top of the base with fragging tweezers while carefully prying under it's base with some flat headed fragging tools. A few small bits of it tore off and remained behind, but the vast majority pulled off intact and was completely removed. In some places, I pulled more than a foot+ of it up without a single tear.
I plan to nuke the few remnants that started to regrow with either kalk paste or lime juice. That should finish them off since they are literally only about 1/8 of an inch across.