When a holder of Admiral or President is executed, when does the title pass to the new character?

Question

Accepted Answer

The title passes after the new character is chosen when the title holder himself is executed. If someone else is executed while the title holder is alive, a character further down the line does not take the title.

Battlestar Galactica: The Board Game

When a holder of Admiral or President is executed, when does the title pass to the new character?