Prep Glass: Fill a Martini glass with ice. Give it a stir to chill it and set it aside.
Add Egg White: Open 1 egg, separate the white from the yolk, and pour the white into the shaker. Discard the yolk.
Add Lemon Juice: Pour ¾ oz fresh lemon juice into the shaker.
Add Simple Syrup: Add 1 oz simple syrup.
Add Gin: Measure and pour 1½ oz Earl Grey infused Gin into the shaker as well.
Rim Glass: Discard the ice from the Martini glass and rim half of it with sugar (to do so, use a lemon wedge to slightly wet the rim of the glass, and then, delicately press the edge of the glass into the surface of a plate filled with sugar).
Shake Well: Fill the shaker with ice. Close it well and shake the ingredients vigorously for about 15 seconds.
Dry Shake: Open the shaker. Using the cocktail strainer, pour the liquid in the other tin and discard the ice. Close the shaker again and shake another time, for 15-20 seconds, without ice this time.
Strain: Using the fine strainer, strain the mixture into the glass.
Garnish: Express the lemon zest on top of the glass (you can either discard it after or place it on the rim of the glass for an added citrus touch). Serve immediately.