Thanks for sharing your take on this!
I've seen others comment that Putin wouldn't do this so near Moscow, or wouldn't do this during the BRICs summit, and similar opinons with regard to appearances. My take is that this was a serious military threat to the government and that exactly where and when the Wagner leadership was taken out was a secondary consideration to getting it done right in terms of execution. And this seems to have been executed perfectly in that the Wagner leadership, not just Prigozhin, was eliminated all at once. There were no survivors or missteps in indentifying the targets, and that is not easy to do. Better to do it near Moscow where Putin/GRU/FSB has more control over events than to try to do this in Africa or Belarus or somewhere else and have it not go so smoothly. Competence is much more important in terms of the government's reputation than whether or not the location or timing is perfect.