Maximize pressure, gather friends, salami slice. Message Xi is the primary factor for all this.How are they (the chattering nutmegs of the west) can even dent the chance of Xi's impending 3rd term? In what world is that idiotic chants going to be effective at all?
The idea isn't necessarily to prevent the third term, but to weaken his ability to make effective policy when he does. Particularly in the international sphere.
Use sticks to provide negative reinforcement in the eyes of Chinese elites. Gather allies in the region to use as pawns.