BRRRR Refinance in higher markets

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I have questions about refinance while using the brrrr strategy. Once your getting ready to refinance, what kind of loan would you get? For example let's say I purchase a property for $300k and its value for $450k (this price is normal here in the NYC market) then I rehab, rented and now I want to refinance and I paid that property in cash, so there is no mortgage on it. Doesn't refinance mean replacing your old mortgage with a new better interest rate mortgage? But how do you replace a mortgage on a property that doesn't have a mortgage? What kind of refinance would it be? From what I see, you could only take out an equity loan or equity line of credit or cash out equity finance on properties without mortgage. And to even qualify for any refinance loan, wouldn't you need to keep your full time W2 job for 2-3 years? Because those banks require personal income and income tax returns. Again this is NYC I am speaking of so trying to refinance a $300K home that's value at $450k, wouldn't you need a $70k per year job for at least 2 years on your income tax for banks to even consider refinance? This is the only road block for trying to use the BRRRR strategy in NYC or other high market cities that I Seen. Please correct me if I'm wrong and share any advice that can help me and other people in high market cities understand in using refinancing while brrrr.