> It's unlikely that miracles happened as described in biblical texts due to the length of time between the events and the recording of them. I'd also expect people to exaggerate or even fabricate stories to boost other narratives, so there's a whole bunch of uncertainty surrounding them.

I don't think that does justice to the historical weight of the New Testament accounts. We have multiple eye witness accounts of the events surrounding Jesus' life, recorded within a few decades of the events themselves and emerging from an oral tradition that placed a premium on verifiable accuracy. The early Church writings we have (for example Eusebius) make it clear how concerned the first Christians were to ensure the historical reliability of their teaching, and how strongly they opposed the spreading of stories that were of doubtful veracity. In fact, the New Testament itself repeatedly tells its original readers to verify its accounts by asking other eye witnesses (e.g. Luke 1, 1 Corinthians 15).