I would explore all possible scientific explanations for seemingly miraculous events before thinking of supernatural causes. Even if there is no scientific explanation now, one may find such an explanation one day. As I mention in my essays on why God allows evil to exist and on reconciling Islam and the theory of evolution, one of God’s self-imposed rules is the principle of plausible deniability: God never performs anything provably supernatural for us to see. God always wants Himself to be hidden from us. That is what His dual attributes of al-Ẓāhir al-Bāṭin (The Clearly Visible, the Hidden) refer to. God is everywhere to be seen for a person who has faith in Him. But He is also completely hidden from direct observation.
We hear stories about some person’s friend’s relative who saw a clear and obvious miracle but miraculously failed to take a video of it. Rather than believing such stories, if we were to take the Quran seriously, we would be as skeptical about them as an atheist is. We fully believe in the miracles mentioned in the Quran, but we also believe the Quran when it says God will no longer show us any miracles that force us to believe in Him.
God is involved in our lives every moment of every day, but, and this is a very important point, He never provably involves Himself in our lives. He will always leave sufficient room for doubt so that when He answers a prayer we can always later say it was actually just an accident that the prayer came true. God does not want us to see Him or see effects of His actions directly. He wants our faith in Him to be a completely free and unforced choice. He wants us to proactively appreciate Him and love Him. He does not want us to passively be forced by external evidence to submit to Him.
I occasionally get messages from Muslims asking what “proof” there is that God exists and that Islam is the true religion. They have the mistaken idea that it is the job of Islamic scholars to prove Islam for them. They got it backward: It is their job to seek God and seek proofs of the correctness of Islam. Islamic scholars can help, but ultimately the business of faith is a personal business between each person and God. God has zero need for people. A person who fails to do their homework of proactively seeking God has no one to blame but themselves on the Day of Judgment.