There is another option instead of sortition which I think can really work effectively: systemic consensus. Watch it in action from 12:00 https://www.youtube.com/watch?v=dsO-b0_r-5Y
In the future it is just a small step to full and direct representation. Already https://www.crystalknows.com does quite a good job of understanding how I think. I can imagine an AI avatar going even further and contextualizing. Couple that with Systemic Consensus already running as an App* and direct representation 24/7/365 can replace our archaic and conflict-generating "majority rule”. Exit the entire cast of politicians. At last I would add.