Clicks/Beeps in Recorded Audio w. Video Examples

It’s not digital , it’s mechanical : the diaphragm of the mic occasionally sticking and freeing itself with a click + ring.
IMO microscopic blobs of saliva hitting and accumulating on the diaphragm are the culprit, ( don’t try to clean the diaphragm yourself it’s too fragile ). It sounds like you are too close to the mic.

Prevention : #1 back off from the mic a bit , (#1b add some stocking-fabric to your popshield ).

Removal : Automatic De-click software is a solution , like Brian Davies De-click which the cheapest commercial de-click software I’ve seen. A free experimental prototype de-click plugin is available for Audacity here … Updated De-Clicker and new De-esser for speech

[ PS you’re using a bit too much noise reduction ]