Go to a branch and give them this condition, if I get magnus, I will open priority and maintain whatever balance criteria is there. Otherwise you are losing on a potential customer.
I don’t think there is any harm in trying above, but don’t open priority account without having the card or a written confirmation.
Other approaches are there but it will take more time, given your existing limit is too low.
If you have a decent ITR (>18L) then you can directly apply with your income documents.