Yes I thought the same. Apart from the very obvious and expensive route of a laminate cutter or a festool then you can use the back edge of a sharp wood chisel held flat down on the top and at an angle to cut the protruding edging. Then you can rub off the sharp edge with 340 grit "wet n dry".
Alternatively asharp fine toothed hacksaw blade will also do the trick but you'll probably need to file some of the edging before using the wet n dry.
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