When is it rationally justified for a Christian to say that an anomalous event that has taken place is a miracle?

I've been engaged in a thought-provoking [chat discussion](https://chat.stackexchange.com/transcript/151245/2024/2/2) with an atheist on the philosophy site. In our conversation, I've been advocating for the idea that there is evidence supporting the existence of miracles as a separate piece of data pointing toward the existence of God. This conversation has sparked my contemplation on the Christian perspective concerning the rationality behind interpreting an anomalous event as a miracle, rather than dismissing it as a peculiar anomaly of nature destined for future scientific understanding and explanation, which would be the typical response of someone who is committed to [methodological naturalism](https://en.wikipedia.org/wiki/Naturalism_(philosophy)#Methodological_naturalism) . According to Christians, when is it rationally justified to consider an anomalous event as a miracle, as opposed to an anomaly of nature that science will eventually explain? Are there specific criteria or perspectives within Christian theology or philosophy that guide believers in determining when an occurrence transcends the boundaries of natural explanation and aligns with divine intervention?