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Ah damn you're right, it is a house crow. I don't know why I was so sure, I thought the coloration was slightly wrong.
As far as I know the hooded crow can be found in Pakistan though, just in the North I think. I though Lahore might be counted in that I guess as well.
Lat/Lng: 31.559815, 74.311523
Saw this individual in a park in Lahore, Pakistan