Oh god, I have never successfully cleaned a baby bird skull. They are SO fragile. So all I can really tell you is what DOESNT work lol. and that would be cooking methods, and maceration. They turned to goop with both of those. I would try a gentile natural rotting method. Maybe stick it in a cup outside in the warm sun so bugs can get to it? But sometimes they are so fragile the bugs will break them apart.
Dermestid beetles, only the tiny larvae, or mummify it.
Also, if you’re in the US, it’s illegal to possess all migratory bird parts. You’ll want to be aware of that.