You can file a Petition for what is known as a Nullity (what used to be called an annulment) and, if successful (which it should be), the legal effect will be as if the marriage never occurred.
Until the marriage is annulled, you are technically married so can file married filing jointly. However, be careful as you don't know whether he's filing with his other wife. Talk to a CPA.
See an attorney, however, if you know you are not legally married you should not swear, under penalty of perjury that you are married by signing your tax return.
First of all, it is a crime in the State of Georgia to be married to more than one spouse. The subsequent marriage is, in fact, void. You should seek an annulment as soon as possible.
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