Please don’t be offended - I didn’t mean it that way.
Almost all US annulments are granted because the requestor testifies that either 1) they did not intend true marriage at the time of the marriage in question, or 2) that they lacked the capacity to consent to true marriage for psychological reasons.
It is well known (trust me) that if you NEED an annulment, this is how to get one. And many people do.
The ratio of situations in which these things are true to those in which they are false must be 1:500 or more. As a practical matter, if you do not attest to 1) or 2), you won’t get the annulment.