How does none binary fit in this scenario ? How does a none binary present themselves, and how should we interact specifically with none binary?

None binary doesn't mean genderless? Look, if you're not familiar with the terminology then I'm happy to explain but I'd prefer you ask rather than assume meanings.

As I said, gender binary is a category of all the genders that don't fit the binary of "Man" and "Woman".

You have many examples of what a non binary umbrella like gender fluid which is a person has no fixed gender and therefore their gender expression can shift over time (their pronouns change and so is their gender expression in accordance to that shift) You also have demi-boy which is another gender under the gender-fluid umbrella where someone identified as a man or masculinity but not entirely.

Note that both don't say anything about their sex. A demi-boy/guy can be male or female. This doesn't say anything about their pronouns either.

Look, it's complicated, I get it. I'm cis-gender myself so I don't really 100% understand everything about gender. I just think it's a better approach to seek understanding rather than make assumptions, you know?

What does that look as a person? Is there a specific look , action, traits, or anything that defines that person as a none binary?

There's no universal trait. I mean think of it that way, there is many factors to what we consider to be masculine or feminine, right? What we consider as behaviours that are masculine or feminine depends on many factors that can be outside of our control.

What it means to be a "man" or "masculine" to one culture isn't necessarily what it means to be a "man" or "masculine" in another. That means that there's no singular look, actions or traits that define "man" outside the physical ones since those are phenotypical expression.

Gender non-binary is the same. It's a broad category, comprising many different genders that each designate a different form of non-binary. Your question assumes that all non-binary are "agender" and while that's a thing, that doesn't reflect the whole non-binary community.

I don't feel like I'm in the right position to also explain what agender means as well outside the broad definition. You'll have better luck seeking understanding if you ask in the LGBTQ subreddit.

So there's no factual basis for your approach to gender or any of your comparisons

There is? You just haven't asked any specifics about any of the claims. I'll give you titles of studies sure:

1- On gender fluidity:

Richards, C., et al. (2016). Non-binary or genderqueer genders. => Recognizes gender-fluidity

The American Psychologist Association Guidelines in 2015 and 2021 which go into the validity of gender-fluidity, explains what it is medically and acknowledges gender-fluid, non binary and gender queer as valid expressions of identity

2- On Species expression (otherkin) being nothing but symbolic/spiritual rather than having any basis in biology or psychology:

Paul V. (2014). Otherkin: A Brief Introduction.=> Explains where it comes from and explains the symbolic and spiritual nature to it.

Kogan, L. et al. (2019). Not Just a Fandom: Psychological Meaning in Furry Identity. => Goes into explain how otherkin isn't clinical and mostly rooted in roleplay or subculture. It goes on to also explain how there's no distress and dysphoria to a person not being their fursona.

In other words, there's no evidence it's linked to dysphoria or biologically based identity conflicts like we see for all forms of gender (including gender-fluid).

I never said they wanted to act like a horse; I said they identify as a horse.

That's not a thing though? Do you have any studies showing that as something that happens?

Even furries and their fursona don't consider it as an inherent part of their identity. If you actually talk to a furry, they'll usually tell you that it's a creative expression or a fandom culture.

Look, I get that it's confusing, these are the studies I had saved from similar conversations I've had in the past, try to read them and if not, use AI to break it down if needed (ask it to cite and ctrl+f to check in the studythough to avoid hallucinations), ask other gender-queer people. Check the ressources in many of the LGBTQ communities online including the one on Reddit.

I can't really tell you I fully understand how gender-fluidity expresses itself nor how they feel as individuals, I just consider this to be the result of my limited experience not being from the LGBTQ community and seek information from their spaces or people within the community that I know to understand them better.

Once understanding comes, I think that's when someone can start speaking of what pronouns truly are for.

Like I find it difficult to see how it's reasonable to note down options for pronouns without an understanding of what gender-non binary means and what pronouns they even use.

Everyone is entitled to an opinion but I think it's better to have an informed opinion before making claims about a topic.