Thanks to all who responded. Thread seems to have taken a bit of a left turn, but interesting nonetheless. we were just at the house and noticed our neighbors are having a partial replacement done exactly as we's planned--repair framing as necessary and new nested tiles. We'll need to have them over for an Apéro and try to get a square meter price out of them.
As to the question of free flow of labor within the EU, I work for a German construction firm. We do not work in France only because our Frtench parent--VINCI--won't allow it, but we do work elsewhere in the EU. I can tell you that legally firms can work in other countries, but some make it more challenging than others--Spain and Italy are probably the most challemging.