Problem with my teeth, how can I fix? Not my fault.

I have either calcium deposits or bruising of the teeth from having a fever when I was a baby. Basically they are really white spots on my teeth.

It looks even deeper than

link

So the dentist said he can basically cut it off the enamel but I don't think losing the structure (less than the width of a piece of paper) is worth it. Thoughts?
Problem with my teeth, how can I fix? Not my fault.
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