It is immaterial whether you agree; that is the way it is.
For example, in the UK all midwives are all trained to baptise, in case a very urgent situation arises. They do not have to be Christians in order to effect baptism on a dying baby if the parents want it and there is no priest available in time.
The necessity is for the Baptism to be done in the name of the Father, the Son and the Holy Spirit, and using water. There is no necessity for the person baptising to be Christian. If there is a priest sitting having a cup of tea in the next room it would be invalid. If there is no priest anywhere to be found, then it is valid, whoever does it. As with any other Sacrament, the efficacy of the Sacrament of Baptism does not depend on the perfection of the person administering it, but on God; he always perfects our imperfection.
That is how it is.
Says who?
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