You basically get the same structure as you do Game of Thrones. The supporting characters are right in and out of the PoV chapters, but are not necessarily "there" in the next major character scene. But the tv show has no compunction about building them up and letting them go out with their own epic bang because they have both the room and structure to.
And I think they handled Avasarale's subtle pushes properly given how far from politics she was. She spotted the right person to send the recording to since she caught Anna in the crowd and sent it directly to her. Then she convinced the surviving martians to give the recording to their next captain, and that convinced the captain to stay out of Earth fighting itself(nevermind whether Mars interfering would just get Earth back on a cooperative stance). As far as she was from the table, she had to do a good job playing the right people and she did. Those people then handled it as their initial or final characterizations.