Updating pack in Airtel backend is slow process. As of now ZEE Telugu HD and ZEE Cinemalu HD are added in Infinity HD and Max HD (all region base packs). Zee Tamil HD seems like it's not yet added in selfcare (but it can take more time). It's also possible that they added this already in some free topup for tamil users. I am unable to check full details as data is encrypted. Anyway try to keep stb in standby mode to get channels fast.