+ Taxe d’habitation (city tax), 10-20k€ if it is proportional (depends on sqm and salary, and decreasing with children).
+ Taxe foncière (land tax), same amount as previous.
But French people earn about twice as less due to taxes, so you don’t have much competition from French buyers ;) I’m not a lawyer, just a big house owner. Who got rich abroad obviously.
https://www.impots.gouv.fr/portail/particulier/calcul-de-lif...
Minus 30% if the asset is your regular home.
There are other taxes of course, this is only the "wealth" one.