I hate it too. Especially since I clean up all the old tape and put down new tape.
That's why I only open these things once
and install a magnetic reed switch.
This is the switch that I used: https://www.digikey.com/en/products/detail/standex-meder-electronics/ORD-213-20-30-AT/1949374
It's currently out of stock there. I picked the least
sensitive switch. (Even though it being activated in normal use is not a problem, it's only when resetting that it's checked.) Others of more sensitivity are in stock and they'll probably do fine.