Laminate over ceramic tiles - damp proof

Hi all, We are converting a veranda to a home office. The existing floor is ceramic tiles (in very good condition), and we will place laminate wood flooring over it. We will also place a 5mm underlayment for cushioning and thermal insulation. A point of debate is whether damp proof membrane should also be placed. So the layers would be: tile-membrane-underlayment-laminate. I know that the tiles are pretty much waterproof so it may not be necessary. There is also the concern whether this being a previously outdoor space, if condensation will be created under the damp proof and create any problems there. If that is not a possibility, and given the low cost of the membrane, would it hurt to provide an extra layer of protection from both underneath, but also from the sides? thanks!