Transgender is you still identifying by a gender and changing over to that other gender.

I'm not sure I agree.. many of my trans friends have said they didn't "change over" to the other gender, they were always that gender.

Non-Binary identifies OUTSIDE of genders, all and any.

Again, I think you missed the mark here.. nonbinary folks often do identify as a gender which is not part of the typical binary. I think you confused this for agender.

Oh! Thank you for sharing!

Thus?

I'm not trying to be antagonistic but wikipedia disagrees with you as well. This opening paragraph on the subject has citations from these publications:

https://books.google.com/books?id=NAjmBQAAQBAJ&pg=PA740#v=onepage&q=&f=false

https://www.apa.org/monitor/2018/09/ce-corner-glossary

Thanks for the insightful response

How do you understand this take then?

The definition of transgender is anyone who identifies with a gender other than the one they were assigned at birth. It is therefore an umbrella term that includes nonbinary genders.

why do you say that? other comments in this thread disagree with you so I'm curious to hear your perspective

great response, thank you