On a Tuesday morning, we will be arriving at Gare des Eaux-Vives by train with an arrival time of 07:58. We need to catch a plane from GVA airport with a departure time of 11:35. I understand that there are frequent trains from Gare de Cornavin taking 6 minutes to get to the airport (correct me if I'm wrong on this).
Considering it will be rush-hour, how do we get from Gare des Eaux-Vives to Gare de Cornavin? We don't mind paying for a taxi if that is the best way. Will we have enough time to catch the flight with comfort?