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You can try Nut & Bowls which is in M Block Market, GK II. They are quite famous for their Rawtella which is basically a vegan version of Nutella. There is another one called Spaghetti And Samosas in Vasant Kunj.
I'm not entirely sure but Greenr is a vegan friendly cafe in Vasant Vihar. They have a branch in Shahpur Jat as well
Kake di hatti in Chandni Chowk.
Burma Burma is your best bet! Pick an outlet closest to you.
Why do you even want to eat Vegan Food?
Vegan is a myth... Eat whatever you want and stay healthy. 😎