I went through background checks like 5 times for governmental projects within my work field. I was even able to work in airports, metrolink, BART, and other various agencies. So I think you are good.
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8/16 Application Sent to Phoenix, AZ
8/17 Application Delivered
8/21 i797C's sent out for i765/i821-d
8/23 Biometrics letter received, scheduled for 09/13
9/13 Biometrics completed 10/5 -APPROVED