His/her vs their after using "each one" (for individual-focused meaning)
Solution 1:
Since all of your bullet points starts with a possessive pronoun, just move that up to the top line.
That means that you can use a longer phrase, because it's only used once.
Encountering a succession of people to observe how each one's way of thinking affects that individual's
● way of looking at the world
● ...
● ...
[I've made a couple of other small adjustments in the wording too.]