Attempting to decode cat behavior can lead to madness. But we do have some idea of why cats like blinking at us. https://www.mentalfloss.com/article/626583/why-do-cats-slow-blink-at-people
A stare is both observation & confrontation.
Widened irises are to catch any movement; you might attack, or I might.
Looking away is friendly; checking our surroundings, mate, you aren't threatening.
Back to slow blink : it's both comment & invitation to communicate, maybe approach.
@estherschindler
A cat deliberately blinks to communcate, quite plainly, "I don't see you as a threat; nor am I to you. I feel safe; so should you. Isn't this pleasant?"