It took me a while to figure out what’s going on here, but I think I’ve got it now.
The cat is auditioning for a position as a Buckingham Palace guard; and the parakeet is playing the part of an unruly tourist trying to get a rise out of him.
Alternate theories will be entertained.
I’d say the cat is enjoying a head massage with the “talons” of the bird, and obviously the bird is snacking on something. Ear mites?
It looks to me like the cat enjoys it.