I understand you and I are going to disagree about whether miracles occur. However, you must agree that with the occurrence of each miracle regarding the same law, the value of said law is diminished. Also, when does a scientist stop attributing any variance in results to an unknown variable and simply stop testing and attribute the variance to a miracle.
I don't think this discussion hinges on our agreement about the possibility of miracles, but instead upon a scientist's attitude about miracles. You seem to think that if miracles are a possibility, then an ability to recognize natural law is diminished. I heartily disagree for many reasons.
The modern scientific process was founded by theists, most of which believed in the possibility of miracles, and yet this theism convinced them that God is a God of order, so we should expect the world to be repeatable.
Further, you seem to be working from the assumption that Christians will attribute "God-did-it" as first impulse to just about anything. You seem to believe that "miracle" will be attributed right out of the gate and the believer will move on with little thought to the matter.
If that's your assertion, it borders on offensive.
You ask when one is to attribute "miracle" in the process? I don't know. Maybe it's kind of like the difference between art and porn. It's hard to describe but you know it when you see it.
I would lean toward "never" in practice, but "maybe" in philosophy. In other words, allow it as a variable, but continue testing for results.
But again... Most believers that I know view miracles as incredibly rare, and that they will be readily apparent. You have to understand that they are also called "signs" and "wonders". They were of the order of dead people coming to life, lifelong lame people walking, etc... Not "hm... that burned blue once, and yellow 10,000 times... Must'a been God!"
Take care, my friend. It's always fun. :hi: