Texas did not join the Union by treaty. Texas was annexed by a joint resolution of Congress. Texas still has the right to form new states. The JR and Order of Annexation says:
New States of convenient size not exceeding four in number, in addition to said State of Texas and having sufficient population, may, hereafter by the consent of said State, be formed out of the territory thereof, which shall be entitled to admission under the provisions of the Federal Constitution.Texas has no more powers under the Constitution than any other state has.
The key phrase being under the Constitution. I haven't said otherwise.
And was admitted as a state by Congress as well. And once admitted Texas falls under the same Article IV restrictions as any other state. It may split into two, or five or ten or however many, states only with the consent of Congress and the state legislature. For that matter, any other state can split into 5 states under the same guidelines.