This is a thread that features Noise Gate.
https://forum.audacityteam.org/t/noise-removal-nyquist-noise-gate/27845/2
Noise gate suppresses the sounds between words.
It’s not the greatest gift to mankind because voices are never perfect and the noises between words are never perfect, either.
Did you try the manual method – select each gasp and get rid of it? Did it sound OK to you? It’s very difficult to mess with human voices and make the result transparent.
Koz