Flying JFK -DXB on Emirates First, we are already checked in ..but never flew Emirates before...figure ask the experts.

How early do we need to get to/arrive at JFK for them to process docs/verify vaccinations? Flying first, if that helps expedite the process.

We are in the city (Times Square) with car service scheduled for 7:30am on Tuesday to JFK...should we leave earlier?
Flight is at 11:20am. Thanks.