I can promise you that if you don't learn to get organized and if you don't learn to influence people, there's a ceiling to where you can go as a software engineer.
I don't know if I had recommended these specific books, but they're certainly relevant.
To bring this back to the main topic: For persuasion/negotiation, I prefer Stuart Diamond's "Getting More". For negotiation & communication with a power differential, I'd go for "Nonviolent communication" by Marshall/Rosenberg. (For finding an organization scheme, IDK. GTD is not the worst book. I know of none significantly better, but I also question the nature of a work environment where we drown in tasks. So, maybe Cal Newport's books instead)