The wide end of a pipe tap is much larger than the required thread diameter at the top of the hole. Lacking an L1 gauge, take your pipe tap and thread it by hand into an existing, good pipe fitting. Take a piece of electrical or masking tape and wrap it around the upper exposed part of the tap. That will give you an idea of how deep to tap. Use it for a reference. I have known old timers who used annealed wire wrapped around the tap and twisted tight at the correct spot.
One thing I may have missed, are you tapping by hand or under power? That can affect the fit.