The "baptism" references are never explained. In the 2nd century it was done all night long, and included a lot of singing, praying (including praying for the water) and full nakedness.

https://www.academia.edu/42943720/Ithamar_Gruenwald_The_Baptism_of_Jesus_in_Light_of_Jewish_Ritual_Practice_Neotestamentica_vol_50_no_2_2016_301_325