How did Jesus demonstrate His grace to Peter after his denial?

Following Peter's denials, the grace of Jesus is beautifully depicted in Luke 22:31-32, where Christ explicitly tells Peter that he has prayed for him to strengthen his faith. After Peter weeps bitterly from his failure, it is the loving gaze of Jesus that draws him back, as indicated when the Lord looks upon him after the denial (Luke 22:61). This moment is a powerful experience of conviction and grace, leading to Peter's remorse and eventual repentance. Furthermore, after the resurrection, Jesus personally appears to Peter (1 Corinthians 15:5), affirming His ongoing relationship with him. In John 21, Jesus reinstates Peter by asking, 'Do you love me?' three times, paralleling Peter's three denials, thereby emphasizing restoration and the call to ministry. This narrative encapsulates the essence of sovereign grace—a grace that seeks, restores, and empowers those who have stumbled.