Since I am working on a project based on the poem "here" by Aracelis Girmay, how do people usually feel when reading this? What mood does it create for the readers?

That may vary from reader to reader. A better question is how YOU feel, what mood YOU think it creates, and how, why.

It makes me want to "push away from the table and say Damn" for the author for what she must have gone through. I personally felt what she went through since I'm assuming this poem is about divorce or separation from parents. But I would like to know how people whose parents aren't divorced would feel by reading. Sympathy?

divorce is only one form of separation. There are many other forms: segreation, non-communication, social stigma (I remember how a pregnant teen described how socially isolated she was because no one would talk or be friends with her. Death is another traumatic separation, and loss. We all have those feelings.

Yes, it is about a separated family, be it divorce or informal separation; spending the weekend with dad. Perhaps a reader might feel sympathy. Any given reader might feel any number of things. One might feel sympathy. Another might just appreciate, "Oh, so THAT'S how it felt to the writer!" Someone else might react by thinking, "Oh, quit bellyaching. That's the way it is. Get over it!" Who knows? All you can do is speculate, but why? Each reader will react/feel what he/she will. Every work of art (poem, painting, piece of music, whatever it is) is published by the creator, then it's in the hands/mind of the individual to interpret it. The interpretation may be quite different than the artist intended, but that's unavoidable, and as it should be.

I have to write any claim about this poem but honestly I dont know what to write for my claim

I don't know what is meant by a "claim" about the poem. I guess you can "claim" that you felt sympathy or empathy for the writer/the person depicted, or that you think it's a silly poem, or anything you like, as long as you can justify it. You can claim that those pop culture references are irrelevant to the point the writer seemed to try to make (they had you confused, didn't they?). But your teacher may mean something else by a "claim".

To be clearer, we are supposed to write a minimum of a 1000 word essay based on a poem we choose and introduce it to readers unfamiliar with it. We have to go "beyond with just what the poem says" but appreciate the experience of the poem and how the poet creates that experience.

https://www.powa.org/

Scroll down here and read about writing a proposition and writing a thesis.

Then click on Convince at the top, and read through the steps in this type of writing. The term ‘claim’ is about the same as ‘proposition.’

Thank you so much!

You’re welcome.