One possibility is to check with Paytm directly or visit their website to see if they have any specific guidelines or exceptions for opening a bank account without a PAN card. They may have alternative documents or procedures you can follow.
Another option is to consider applying for a PAN card. It's a relatively straightforward process, and having a PAN card can be beneficial for various financial activities beyond just opening a bank account. You can find information on how to apply for a PAN card on the official website of the Income Tax Department of India....
If you're interested in learning more about the fastest business bank accounts, you can check out the link you provided:
https://www.businessfinanced.co.uk/fastest-business-bank-accounts/. It could provide you with valuable information and insights on selecting the right business bank account.