In my opinion that drain is too far from your vent, I'd recommend you don't use an AAV. Your wall is already open, cut up a few more feet and cut in a t wye upside down in your vent and bring it over a few feet so that you don't exceed your 6' max. Your probably only long 2-3 ft anyways. Reason you secure water lines isn't for aesthetics, it's so your pipes don't sag and aren't stressed. You might think it's ok but it's not what you want to be doing. If that's loose it's opening up an opportunity for them to fail.
If you don't learn something new everyday at work, it's not even worth going.