Fill a shaker with ice. Add Midori, vodka, lime juice, lemon juice, and simple syrup.
Shake for 10 seconds until chilled.
Strain into a highball glass packed with fresh ice.
Top with ginger ale and stir gently.
Garnish with a lime wedge or wheel.
Notes
Swap ginger beer for a stronger ginger kick, or soda water for a lighter version. Add more simple syrup for a sweeter drink, or extra lime juice for more bite.