Right. Some not entirely relevant photos. Might give you a better idea though.
The big one is my MSR Titan (100mm height, about 120 dia) and the mug is a Tibetan 450, which is the same size a ‘normal’ household mug. I know the Myti mug is taller slightly, but I’d suggest a small stuff sac or something with some other items in too, if you’re dead set on this. I’d say a Jetboil sized cylinder would fit the AC quite well, not that I’m suggesting one of those.
I know the first gen cages were apparently fragile enough to Salsa to revise the design, I reckon mine has lasted this long as it was holding the TrailStar, which is light and non rattly.