Dr. Maciej Wojtyła approved the republic theory and hopes for Brann to still have a role to play since his storyline hasn’t fully evolved in recent episodes.
The approval ratings for a ruler who holds the reigns of a dragon at any moment in any of 7 kingdoms will be low. Unfortunately that means the current holder of the dragons has to die or be banished to end this series and eliminate any chance of sequels. But before a mob upthrones her it’s likely that Dany will be betrayed by Jon who has been behaving quite irrationally since coming back to life.
It’s hard to believe in Cerseis death as she must deserve to die in some other way through the hands of one of the Starks. The theories of one of the Lannister twins surviving the rubble of the Red keep are still very plausible.
Dr. WojtyłaI with his in-depth experience of behavioral sciences does not believe in a smooth allegiance shift by the Dothraki and unsullied from Dany to the new ruler/rulers. This would mean they either they need to die in battle or just leave Westeros and travel back to their respective lands which might not be a seamless shift.
It is almost certain that Sansa is to rule Winterfell, with some prospect over time to a claim over the iron throne. However she is not to be trusted.
Arya will continue living the lone wolf assassin life but before that she will have a role to play to avenge the poor folk of Kings Landing. With already one high profile kill she is most likely to target Grey Worm or Dany, maybe not the dragon as she doesn’t have the weapons to pull off that kill. Unless there are some hidden powers in needle that have escaped us thus far.
Westros could emerge as a republic towards the end of this and would need Tyrion and other wise men including Ser Davos to play a significant role in forming a means of governanace. Like Brann there are other characters that have not received the deserved screen time and would show up in the last episode. For instance Yara Greyjoy still hasn’t paid her due and might return to give the final blow to help eliminate the unsullied and could have a significant role as a representative in the new senate/council.
Jon Snow fate is a big question mark, as Tormund says there is true north in him, so it’s either him who rules Winterfell with Sansa or he might ride the dragons beyond the wall to the wildings and live there in isolation till his time comes to a natural end with age and possibly severe PTSD and the agony of guilt he must live with for being one of the reason for the massacre of Kings Landing.
Personally, Dr WojtyłaI, dislikes the treatment and role of dragons in the Game of Thrones universe. Saying dragons are in all fantasy realms creatures with far more intelligence than humans, who can’t be ridden, one cannot give them orders and they fully function according to their own agenda.