Don't bother with the cut "X" or running the drill backwards or the punch.
Go get a can of Johnson & Johnson floor wax like this:
https://www.lowes.com/pd/Johns...wcB&gclsrc=aw.ds
When you're ready to drill with the drill bit chucked up, dip the cutting end of the drill into the wax to 1" - 1-1/2" and just drill like normal. The wax will cause the carpet to slip around the drill and not get caught and will NOT cause a run. Re-dip the drill for each new hole. It will not affect the cutting of the drill (I believe it enhances the cut).
I've been doing this since the 1960's and haven't had a carpet run since. I learned it from a car stereo installer, which I eventually became, too.