From a tax standpoint, you are single if you are legally separated (not just physically separated), and while Connecticut does not recognize a common-law marriage that originates from Connecticut, it will recognize a common-law marriage originated from a state/district that does recognize such. Texas, of course, is such a state.
So from a tax standpoint, you will be considered as single if your separation is considered to be legally recognized in Texas. As @Mike9241 points out, the answer to that question is a legal one. And if you have not yet obtain a legally recognized separation, then your tax status is still married for your current filing.
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