Also, the diameter difference between the Earth and the Moon is just under a factor of 4, so O and o don’t really represent the scale difference well. It’s more like O and the circle in Danish Å.
Given that, it’s hard to answer the question as written. If you assign “O” to Earth’s diameter, you’ll get a different answer than if you assign “o” to the Moon’s diameter.
So, boring but hopefully more accurate answer: The moon spans about half a degree in the (Earth) sky, which is about 1/120 of a radian, so the distance is approximately 120 Moon diameters, whatever symbol you choose to use for it.