Get yourself a BB gun or a slingshot. Or a pack of fire crackers.
When the thing starts up throw a whole pack at it. A couple of times doing that the stupid animal might get the message.
Or the owner.
Their eyeball is bigger than their brain. It will take more than a couple of mornings.
Throw ice at annoying neighbor pets/critters. Pop them a few days in a row and the noise settles down.
If the Yelp does finally wake neighbor, the evidence had melted.
Just rattle the ice tray menacingly at critter from time to time with Clint Eastwood glare.