if i read your diagram right, i see on the left a vented stack, and on the right a toilet waste arm, not a branch that has more than one fixture on it. I guess the floor joist is above the double Wye.
It is important in the explanation whether the toilet is all alone or is branched to other fixtures before its pipe connects to the stack.
A drain has to be vented before it goes straight down, and a 45 degree angle down is the same thing. An AAV adds venting before the downward turn. AAV packaging warns you that you have to have real venting too, soon after the AAV.
The way you have proposed it, is worse than if you had proposed adding an AAV to the waste arm.
My saying this is not a recommendation to use an AAV. Many other factors still have to be included. I have not seen your house's plumbing; i do not know your local codes, i am not a master plumber; i don't know whether you have the right to install things that may be acceptable under some lenient codes and not under other stricter codes.
If you had a hand rinse sink near the toilet, and its drain was vented and connected to the toilet "branch" then you would have wet vented the toilet waste arm. Why is there no sink near the toilet?
david