How can there be only One Baptism if there is Water Baptism and Spirit Baptism?
For a person to become Born Again of the Holy Spirit they must receive Christ Jesus by Heart Faith as Saviour and Lord and confess His death and resurrection.
The implication of our part being to believe on Jesus Christ and confess Him as risen Lord, is that He has done everything else! It is why we call it amazing Grace! It is why the gospel is nearly too good to be true!
Who raised Jesus from the dead? He raised Himself Joh 10:17,18 by His Holy Spirit Rom 8:11.
It is our personal confession of Jesus as mighty Creator and loving Saviour that seals that miracle.
In the verses above Paul is not speaking of Water Baptism or even Spirit Baptism. → He is speaking of being Baptized In The Name Of Jesus Christ. → He is talking about being immersed into Christ Jesus by absorbing His Word and being filled with His Holy Spirit. → This is the New Creature, New Spirit being existence that we take on in Christ Jesus.