You pups can't keep up with the pedigree
Pedigree means line of decent. Particularly with dogs it refers to being pure bred. He’s saying that small insignificant “pups” can’t keep up w/ his lineage/ancestry. You can take it as him being in the game for a long time, or it could be another reference to birdman. In other words, Wayne is special and a thorough bred G and nobody can tell him shit.
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