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If this is an ancient variant then its rules should be different. I don't know how was ancient indian chess but with old western chess rules I think this variant is more balanced.
The problem is black can proceed without giving any hole in its position. With old rules black has two holes (b7 and g7) at first and moving ahead without giving a hole to white needs ultimate cooperation of pieces.
I think the crowned chicken has real chances of survival , give it the power of modern Bishop also, then it will be a dragon :)