I'm just tacking on to what you're saying. Being logically sound is only the baseline requirement for something to be true. Any logical reasoning has to start from presuppositions. But you can't prove those presuppositions with the logic that follows.

You can only say, if A is true, and if B is true, then what can we logically deduce from that. But you have to make the initial decision to regard that A is true and B is true.

For me one of the most convincing aspects of Christianity is just how unintuitive it is. Why would God let himself be killed? Why would a God wash the feet of the lowest in society? If you wanted to craft a religion to take over so much of the world that we count the years by it, how could someone possibly know that would be the way to do it? Either there is some truth to it or the people who apparently just made it up were super geniuses.