Telebaptism: Perfect Baptism
The Greek adjective "teleios" (G5046) means complete or perfect. Telebaptized people are those who are perfectly baptized. They are washed (of original sin) by affusion as infants, and they are secretly washed (of personal sin) by immersion as Gospel-believers. Last but not least, they do not renounce infant affusion. Telebaptists believe that there is "one baptism" (Eph. 4:5) in two rites; and even though it is only necessary to receive one of the two rites, we see nothing wrong with receiving both.
Since neither rite can be repeated, one of the two administers (preferably the first) should say "I wash you" and the other "I baptize you". In between the two rites would be when the person is baptized in the Holy Spirit (Mark 1:8, John 1:33) through faith in the Gospel (Eph. 2:8-9). The second rite is done secretly for two reasons: 1. It would be a a form of boasting to announce it publicly, and 2. Telebaptism is not approved by the Church, at least not yet. (That could change later as the fruits of telebaptism become evident.)
Only Gospel-believers who have been washed by affusion in infancy are eligible for telebaptism. Those who were washed by immersion in infancy are not eligible, because neither rite can be repeated, and it would be backwards to do the first rite of baptism by immersion and the second rite by affusion.
The telebaptized get their infant children publicly washed by affusion as they were; because otherwise, it would mean that they are renouncing infant affusion, thereby invalidating their telebaptism. Finally, candidates for telebaptism should be told to think twice before being telebaptized, because they might receive additional gifts of the Holy Spirit, and to whom much is given, much is expected (Luke 12:47-48).