My understanding is that SEAL graduates don’t get their qualification badges (Gold Tridents) until after they’ve actually deployed for a time with an active SEAL Team. Making it through BUD/S and SEAL Infantry Training, difficult as that may be, is not the end of it for an aspiring SEAL-candidate.
A SEAL has to complete his first deployment with a team before he’s fully vested as a SEAL. He does get his trident on completion of Phase 3 training, but it isn’t permanent until after his first operational team deployment.