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Looks like a nutcracker, but not sure if it is a Spotted nutcracker or Kashmir nutcracker
Juvenile House Sparrow? There's a light yellow gape at the base of the bill
I too think it is a Thick-billed green pigeon.. Beak looks like a young pigeon's..
Great pics.. But the tail and the whiskers near the beak look like a Drongo's.. Also the behaviour you described(acrobatics etc) point to a Drongo.. Could be Crow-billed Drongo, not sure, but definitely not a Crow or Koel..