Since, according to you, a person must be "born again to believe", then one cannot believe the gospel by which one is born again until they are born again.
Under your erroneous dogma one must be born again in order to believe the gospel.
Romans 1:16 For I am not ashamed of the gospel of Christ: for it [the gospel] is the power of God unto salvation to every one that believeth; to the Jew first, and also to the Greek.
According to Scripture, the gospel is the power of God unto salvation to every one who believes.
However, your dogma requires that one be born again In order to believe the gospel.
1 Peter 1:23 Being born again [regenerated], not of corruptible seed, but of incorruptible, by the word of God, which liveth and abideth for ever.
According to Scripture, it is the word of God by which we are born again.
However, your dogma requires that one be born again in order to be born again by the Word of God.
So, no, brightfame52, you do not believe "one is only born again once".