So I think I've figured out a non-binary pronoun that does not sound like any other pronouns and does not use the spelling of any other words. It is pronounced gi, "like the word, "geese" but without the, "se" and it's spelled, "gge". And here is a conjugation table. It is based on the text on this page https://pronoun.is/they/.../themselves:
Gge goes to go to the park. (notice the, "s" in the word, "goes", that's because according to my model, the words around, "gge" are conjugated like the words, "he" and "she".)
I went with ggem.
Gge brought ggeir frisbee.
At least I think it was ggeirs.
Gge likes to throw the frisbee to ggemself.
