Is there a theological connection between Noah’s dove and the dove at Jesus Christ’s baptism?

In Genesis 8:8–12, Noah sends out a dove that returns with an olive leaf, signaling peace, renewal, and the end of God’s judgment through the Flood. In the Gospels (e.g., Matthew 3:16), the Holy Spirit descends upon Jesus “like a dove” at His baptism, marking the beginning of His ministry. Within Christian theology, is the dove in Noah’s account understood as a foreshadowing or symbolic parallel to the dove appearing at Christ’s baptism? Do major Christian traditions (e.g., patristic, Catholic, Orthodox, or Protestant theology) interpret these events as typologically connected, or are they generally treated as sharing symbolic imagery without an intended theological link? I am interested in answers grounded in Christian doctrinal teaching, historical theology, or respected theological commentary.