I agree with @Dashinka and @OldUser. I would not file an I-751 if I was not legally required to do so. An ADIT stamp will supersede the date on the card. The plastic card as well as an ADIT stamp are just evidence of legal status. Legal status does not expire when the evidence expires.
Your case is a little different from the thread you replied to. Your post is perfectly clear. @Dashinka's advice is perfectly sound. All non-immigrants with a valid I-94 are free to travel freely within the US. Traveling 91 days after entry via a K-1 without having submitted a proper I-485 package would not be a good idea.
1. Wait until BOTH I-130s have been approved and sent to NVC, then
2. Submit fees and documents for both cases.
3. Once you have the DOS case number for BOTH cases, Contact NVC and the consulate and request they be interviewed together.
I'm glad you asked this question. It reminded me to contact my tax professional to set up her services for 2023 taxes. I contacted her, and tax document collection has begun..... She takes care of the 1040 package, all foreign asset reporting and FBAR reporting to the Treasury Department.
Sounds you overstayed your I-94, AND your child is a USC. Your options are to either proceed with ta fiance visa or marry, meet, then apply for a spousal visa. Good luck in your journey.
Alan Dershowitz, who is certainly no Trumpster, disagrees with you. Article 5 specifically says "The Congress shall have the power to enforce, by appropriate legislation, the provisions of this article."