US Immigration from Cameroon

Hello, I wish someone on here can throw a some light into our predicament. My husband's immigrant visa was denied based on his past claim of being married(he wasn't but in a common law relationship) when he had applied for a visitor's visa. During the interview, he stated the CO asked about our relationship, and then went forward to ask if he has ever been married before. His replied was, no! the CO asked him but you stated in your previous visa application that you were married to this person (mentioning his ex's name). My husband's replied was, no, we were not married, but living together at the time(that was in 2015) of the B2 visa application. The CO denied the visa based on INA 212(a)(5)(A)- confusing as this section falls under the labor certificate-, and that his petition will be returned to DOS with the recommendation that petition be revoked.

My question is, is there a way out of this mess? Has anyone on VJ experienced this? I have consulted with a lawyer already! I just want to know if there's a light at the end of this misfortune we facing because of his "false claim" to get the visitor's visa.

I will really appreciate y'all replies!

Hello all. Good luck everyone embarking on this journey. Got a quick question. Is it a requirement to do a covid 19 test before entering the U.S? Thanks