Beat 3 eggs with 1/4 cup water. Heat omelette pan till very hot. Melt a small amount of butter and pour in egg mixture. Use spatula to lift cooked egg from bottom of pan so that liquid eggs will set better (see photo). When eggs begin to set, place half vegetable mixture over 1/2 cooking eggs. Top vegetable mixture with 1/2 the goat cheese. Continue cooking until bottom is brown and eggs are set. Add 1/2 the basil just before carefully folding the half of eggs without the veggies, over the other half (see photos). Cook a few seconds more and remove omelette from pan onto serving plate. Repeat with second omelette.