Closing date in July would imply a first payment on September 1.
You will collect a payment on 9/1, 10/1, 11/1 and 12/1. You will collect 8 monthly installments for the taxes as an initial escrow deposit, not as a prepaid. 10 if you collect a 2 month cushion. If you don't escrow you don't collect anything.
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The opinions expressed are mine and they are not to be taken as legal advice.