I recommend doing it the same way a dialogue editor would - manually edit them out, small crossfades in between. Then try a noise supression tool after the fact as icing on the cake. It's a great way to learn how to edit in practice. Take dialogue for instance. anyone editing voice must learn the intricacies of inflection, rhythm, and cadence - and furthermore, how to alter it in believable ways (hence, dialogue editors are called invisible artists - also why there's the saying "a seasoned dialogue editor is worth their weight in gold"). Unfortunately a catch-all like a plugin for this siuation won't help all that much in my opinion and you frankly won't learn a whole from it.
Pushing a plugin button is limiting, a skill limited to the confines of a certain tool and its availability. Learning to carefully and transparently edit sound however is a skill which you can carry on forever, regardless of the tool or medium, it transcends the tools, and put it to practice in many ways and constantly improve upon.
Good luck!