“Excuse me, look for several households that were baptized including children if you consider their time and manner of living. One was Lydia’s.”
The argument that children were baptized is an argument from silence.
Even in your response, you had to qualify it (add to Scripture) by saying, “including children if you consider their time and manner of living”.
The plain words of Scripture and the examples where people are identified are all adults. There are no explicit examples of children being baptized. Only adults.
I could have said Lydia’s household. You figure it out!