Whenever you look at your nose, you always see the right side, unless you cover your right eye. amirite?

https://www.amirite.com/911342

That's not true, it just depends what perspective you are focusing on.

Imagine needing to close an eye to change main eye perspective

Thanks, now I'm noticing my nose.

And you are now breathing manually.

Not necessarily. It depends on which eye is your dominant eye.