Moens faucets are notorious for this exact problem.
More so if in a multi unit building with common hot and cold systems.
Is it a single Family home or a unit in a multi-unit building?
Do you have your own individual water heater?
Does the WH have a working valve on the cold supply.
If so turn it off. Do you have any 2 handle faucets in the unit?
Open the the hot side. If not try the laundry if you have one.
Turn on the hot only.
Then go listen to the shower valve.
With the shwer valve closed do you hear water running through it?
If so replace the cartridge.
When we have a similar problem in a multi unit bldg that has a common hot & cold system, We try to obtain access to all the units.
We the shut down the hot system, open a hot faucet and water should stop flowing.
If not, then we go listen to each and every fixture for the sound of water passing through the fixture while it is off.
Hope that helps. With the hot system off and if there is no hot water flowing from any hot fixtures then check the toilet it should still have cold
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