After the romantic affair was over , FÃ licitÃ remained in the service of Marie AdÃ laÃ de at the Palais-Royal , a trusted friend to both Marie AdÃ laÃ de and Philippe . After the romantic affair was over , FÃ licitÃ remained in the service of Marie-Ad Ã laÃ de at the Palais-Royal , a trusted friend to both Marie-Ad Ã laÃ de and Philippe .