So should I aim at removing the tile with the decoupling membrane and not attempting to leave the membrane in place?Presumably you can score through grouting and the membrane underneath, leaving the tile and its underlay to be removed

Schluter DITRA 25What was the name of the membrane used?

The tile will be discarded, unless it can be used somewhere else.Yes, Ditra is a plastic membrane with a fuzzy side that is bonded to the substrate with tile adhesive and a network of pockets that are filled with adhesive that bonds to the tile side.. It would be easier to detach the tile and membrane from the substrate I'd say, then use mechanical assistance to reclaim the tile

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