Is there harm in multiple loans if they are for cashflowing prop?

[Cameron Philgreen]

My wife and I are relatively new to the investing game. We have no debt except the 2 houses we own ($240,000 total mortgage debt). One property cashflows $550 / mo and the other is our primary residence / airbnb and cashflows about $400 /mo.  Our goal over the next couple years is to have 10+ more doors.

My question: How many loans can we possibly get?

What are banks looking at?  We make a fair amount of money (about $80k after taxes/expenses), but in my opinion not enough to justify potentially being $1,500,000 in debt in the next couple years.

So, as we venture into the world of rental properties more and more, can we expect to just be approved for a loan every time as long as the property will cashflow?  Or is there a line where they say, "stop, that's too much debt compared to your income."

Lenders and others, what say ye?  Tell me the smartest and most effective way to get OPM!