Bank Promos via Rental Deposits?

Hey, everybody. I'm looking to set up a new bank account to separate rental emergency funds from personal funds. I was hoping to take advantage of a bank promo (eg. earn $300 when you direct deposit $500+ in each of the first 3 months), but the disclosures limit direct deposit to payroll, pension, Social Security, etc. I called the bank to see if direct deposit through Cozy would count, but sounds like a 'no.' The customer service agent didn't seem too confident though..

Anyone done this before, or know for sure whether this is/isn't allowed? Thanks