There are times when cats can’t tell what they want. They’ll paw at the door, indicating that they want to go out, but when you open the door, they’ll stare up at you with their cute eyes as if you’ve offended it and its ancestors in an unforgivable way. Cats are just weird like that.
But this cat, Rudy, takes weirdness to the next level. First of all, Rudy isn’t the OP’s cat, yet it shows signs of love toward the OP, which is unlike normal feline behavior. Sorry, neighbor, but it looks like Rudy belongs to someone else, now.