Hello.
Syn3updater does not work with < 3.3, so you will have to manually create an upgrade USB for 2.2.xxxxx… take this guide as reference → 2016 Mustang Sync3 1.0 updated to 3.0 and no Apple Carplay! - #10 by SaNdMaN
Also, for a 2016 vehicle you may need to change the USB HUB → Media Hub, CarPlay Compatible - 2015-2020 Ford/Lincoln - SYNC 3
Before spending money, try updating it to 2.2.xxxx and check if Android Auto works.
Do not go to 3.3 yet, it’s recommended to validate CP/AA works on previous builds. And before going to 3.3 or 3.4, make sure the unit is not MY20.
Also, try using a quality device instead of “Generic Flash Disk USB Device”…