If this question is asked of you in the PERSONAL INFO section under state of residence, you would enter the state of residence as of 12/31. If you select foreign, a question will then appear asking you your previous state of residence, which is Texas. Then it will ask when you moved.
Since you are now in a foreign country, IRS will require you to report your Foreign accounts and Assets if you have any. Here are a couple of links you should review to see if these are applicable to you.
FBAR Reporting Requirements
8938 Reporting Requirements
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