This is pretty close to my method: https://www.youtube.com/watch?v=kQ8wvUKa35E
Differences: rather than stirring the initial slurry, I pulse pour and swirl the inverted assembly so that the coffee is fully wetted and suspended; I prefer using water at a full boil and wetting the paper filter; as an additional mix, once I have the assembly secured I'll invert it onto the cup and let it steep there -- the seal on the piston, if in good shape and seated properly, will prevent the coffee from passing through before plunging.
I've seen a video where someone will have half of the coffee in the aeropress, and half in a pour-over filter on top, pour over into the press, and then
let it steep. I can see the benefit, but that's a whole lotta finesse for half-five in the morning.
Edit: here's that other method. Haven't tried it yet, but I'm kind of curious: https://www.youtube.com/watch?v=gTGapuv5Dxs