Another way of understanding baptism as our ordination service is to see that being clothed with Christ is a typological fulfilment of Aaron’s priestly garments (cf Exod. 28:2). Paul says this;
“You are all sons of God through faith in Christ Jesus, 27 for all of you who were baptised into Christ have clothed yourselves with Christ.” (Galatians 3:26)
Baptism, as believers, is baptism “into Christ”. And this passage in Galatians suggests that we are united with Christ as priests. For we have been clothed with Christ. If Jesus was the priest par excellence, and if we ‘wear’ Jesus Christ, or “put on the new self” then we wear the garment that qualifies us as NT priests.