How does Hebrews explain the priesthood of Jesus?

In Hebrews, the contrast is drawn between the Levitical priesthood and that of Jesus, who acts as the perfect, eternal high priest. Unlike the former priests who offered sacrifices repeatedly, Jesus offers His own blood, obtained eternal redemption for His people (Hebrews 9:12). His priesthood is established through an unchangeable order, signifying a relationship with God that transcends the old covenant, bringing forth a new and everlasting covenant marked by grace and mercy. This emphasizes that Jesus is the sole mediator between God and humanity, ensuring that the promises made to Abraham and his descendants are fulfilled.