Turn off all clicking with an iPhone 13's telephone number entry pad

I want to turn off the annoying and banal clicking feedback I get when entering a number on the iPhone's telephone number entry pad - this has nothing to do with the "normal" clicks I might get using, for example, the text entry keyboard.

I've got the Setting / Keyboard Clicks turned off, so I don't hear anything with anything else.

Where is the setting for this telephone number entry pad found? Logically, as it's a similar function to keyboard sounds, turning that setting off should've disabled this sound, but it doesn't.

The only way I've found to do this is to set the side sound buttons to zero, which is next to useless because then you can't hear the telephone ringing for incoming calls (unless you then set the side sound button to something audible).