Question

What happens to internal reflection if the amount of reflected light increases?

Answer 1

If there is total internal reflection , then the greater amount of light will also be totally reflected.

This may seem like a short answer, but there's nothing more to it. There is no such thing as 'overflow'. More light means more gets reflected.

Of course there will always be some absorbtion loss in the medium, which will be transformed to warmth. And we can imagine, that there is a certain amount of light-to-heat conversion that might do damage.