First Texas wasn't admitted to the Union via Treaty....
The following is the section regarding dividing into additional state:
I guess it is a question of whether the congress that approved the Joint Resolution admitting Texas in effect approved the additional states or does Texas have to go before Congress to get that approval should they desire to divide... I think it's a curiousity that will never be known as Texas isn't going to divide.....
Here's Snopes take on the division which by the way is open to the other 49 states also. Snopes
Come on, y'all! Read #115, and stop the talk about Texas dividing into five states.
Yes, but as I pointed out, the other 49 states require the Congress's consent. Texas already has that check-box filled. You even quoted the part where Congress agreed to it already. That's what makes Texas's situation different. All that's left is an act of the Texas state legislature (which will probably never happen as you stated).