How to "fix" a burned laminate countertop?

We have a laminate counter that "looks" like granite so lots of colours grey, taupe, etc. We got a new stove that apparently is much hotter than our old one. I put a hot pan on the counter and it burned. There are a couple of spots where the laminate came right off. The countertop is long and has the sink in it so replacing is a big deal. Plus I don't want to spend a lot on this counter since we will be replacing it at some time. Is there any way to fix this?
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