For us, Brazil recognizes Dual Citizenship so we just might get going as soon as we are elidgable.
With regards to Global Entry, Here was our experience.
March 2024 - Wife did Interview on Arrival (far easier than getting an appointment) and approved
Plenty of Domestic Trips with "PreCheck" (that is a blessing in its own)
January 2025 - 1st use of Global Entry they selected her to talk with, take biometrics again, and admitted (not too hard)
September 2025 - 2nd use of Global Entry, Kiosk said not a member, had to divert to the service desk then to the interview desk (no biometrics this trip)
We asked about what is next after filing our I-751
We were also told that next trip we would need to bring the extension letter to the appointment desk again (upon arrival) and they would have to update the account once more.
Overall, not as seamless as it is for me (Citizen) but not a long line either ...