In my head, I associate the word with reluctantly and being the bigger person.
An example where the word would be appropriate to use is: I let the little kid play with my phone even though I saw him put his fingers in his mouth, and I am a slight germaphobe because, in my heart, I know it is the better decision to let the kid do their thing than follow my selfish wants and take my phone away, causing the kid to create a scene making everything more difficult.
The word isn't like capitulate because I am not conceding to someone's demands. It is more along the lines of doing something (generally for the greater good) even though I do not want to, but by my own choice. It is like feeling reluctant but having agency in the choice made.
I forgot to add, but this theoretical word in my head isn't too negative. I mentioned it before, but I think capitulate has slightly too much of a negative and forceful connotation.