These types of tools are seemingly designed specifically for our type of recording! The results seem near magical the first time one gets into using this. Does take a good bit of time to do, but can put a polish on (and sometimes rescue) an outstanding recording that warrants the work.
This looks very similar to the 'Spectral Cleaning' function in Izotope RX (which I haven't used) and Samplitude (which I have). I think Sony offers something similar as well, and probably others now too. Do you draw a box around the offending sound in a visual spectral display screen? The Samplitude version I use has various options for how it interpolates which information is removed and what it uses to replace it. Choosing the best sounding option depends both on the material and the nature of the offending noise. The result of an incorrect choice can be worse than the noise, but correct one basically unnoticeable and can allow for repairing longer segments. One difficulty I've found is sometimes isolating the sound in a dense visual field if there are lots of other sounds happening concurrently. It's easier if the offending sound sticks out enough to be obviously visible and thus easier to isolate.
The version I've been using in Samplitude is an older version of their optional Cleaning & Restoration Suite which came bundled with the SAM 10 Mastering Edition. I have a newer version of Samplitude X and that functionality is now built-in, although I think the newer Cleaning & Restoration Suite offers more options or has higher quality settings but I haven't gotten into that.
The other tool in this category I've found similarly quite useful is the 'click & pop remover' which is designed primarily to reduce LP surface noise, but with careful calibration can transparently remove 'fabric rubbing against the mics' noise very effectively. That's more of a 'set it correctly and let it catch them', type of process which doesn't require targeting each instance individually.
I've also had some luck trying noise reduction tools for reducing background HVAC noise or hum if I can get a good isolated sample of the noise to train the algorithm, but that requires a long enough 'moment of relative silence' during the performance, or keeping the mics in the exact same location and doing so before or after the performance without any crowd noise or other noises present.
All these things take a good ear, good enough monitoring and close listening to make sure you are doing less harm than good in the end result. Usually it's better to aim for reducing the annoyance of a noise rather than trying to completely eliminate it. Non-transparent remedies are usually worse than the ailments.