NY Rent Program and Unemployment:
However, unemployment insurance or other subsidies or entitlements that are received to cover loss of income for a particular month should be counted for that month regardless of the month in which it is received. If you have not yet received UI benefits or another subsidy or entitlement, you are not required to report them.
In other words you need to count it as income in the month that it is certified for, not in the month that it is received BUT if you didn't receive it yet you don't have to report it.
I've updated the excel calculator in my signature block to reflect this update.