My (completely out of left field) prediction/hope for how the Succession Contest ends

At some point, Halkenburg, Tserriednich and Woble will be the last few standing (Halkenburg in some other body obviously).

Halkenburg has no allies left around him and he knows that in a random body, he'll never be recognized as a new king, so he has to inhabit of one of the princes.

Tserriednich is the kings favourite candidate. As he said, he wants a prince with foresight (which is literally 4s ability).

But Halkenburg wants to spite the king and so decides to inhabit Woble to make him win the war, placing all his trust in the people around Woble. Immediately surrounded by close allies that want to protect Woble (Bill, Oito, Kurapika, Melodi...), Halkenburgs guardian beast way enhances their powers and Tserriednich has no chance (even with his Hatsu). His final moments are spend watching himself die over and over again in his visions, no matter what he does. Until he actually just dies in the present reality.

Thus Woble wins, but it doesn't end there. When the king sees the winner, he goes mad. His kingdom cannot be run by a baby. At the coronation, he tries to murder the baby, but in consequence, right before he can carry out the act, is killed by his own guardian beast that protects the rules of the game. There must be one winner.

I think it would be incredibly poetic if the king is murdered by his own murderous game. And Woble winning is IMO the one thing that would make him try to go against the rules. Especially if maybe Woble wasn't even his own child, but Beyonds. Plus, Halkenburg inhabiting Woble's body would be the strongest contender in the whole War, since it would just enhance Kurapikas abilities beyond belief.