If you want to achieve this ending, you must pay attention that your persuasion score should be at least 90 points, preferably 100. Deception and intimidation can also be used. Otherwise, neither Crowe nor Sophia can be persuaded, and you must go to war.
I don't know if it has something to do with the friendliness of the board of directors, but if other tasks are biased towards phineas, then the goodwill of the board of directors is definitely low.
If you can, you can run all the way to the finish line with holographic camouflage clothes when you save the doctor in the last tiankeng, and don't join the battle of allies, which will not affect the goodwill of the board of directors and allies.
Here, I suggest that when Sophia asks you to follow the doctor, you tell the doctor and help him delay the time according to his request and take over the spaceship jumping task.
Then go back and report to Sophia, and then Sophia will let you contact the information dealer of King Star, and recommend you to complete all the tasks of King Star before completing Sophia's task, so that Zola can form an alliance with Star Bay. If you have finished, talk to the intelligence dealer while doing the Sophia task. After all the tasks are finished, go back to Byzantium and talk to Sophia.
If you choose the mayor before the mayor of Shuian Town is deposed, and let the new mayor take over, Sophia will let you clean up Shuian Town after you return to Byzantium (in fact, after completing Sophia's Star of Kings mission, you can take on the remaining tasks, or you can just jump down and let the spaceship jump). What I did was accept the mission, but I chose to jump directly into Dr. phineas's Freedom spacecraft. After that, Dr. Sophia was arrested and entered the final battle, and passed all the way. If you take the flow route, you will meet Crowe. Just convince him thoroughly and let him go, then confront Sophia and convince her thoroughly, and she will take the initiative to leave, and then leave the key card on the table.
But this ending is not very good, because the board system still exists, and the ending also mentions turmoil.