Preparation Crust * Coat bottom and sides of pan with nonstick spray. Line bottom with a parchment-paper round. Using your fingertips, mix remaining ingredients in a medium bowl until mixture holds together when pinched tightly. Pack onto bottom of pan in an even layer (using the bottom of a flat measuring cup works well). Chill until firm, at least 1 hour or up to 1 day.
Filling * Place gelatin and 3 tablespoon cold water in a heatproof bowl. Let stand until softened, 5-10 minutes. * Pulse cream cheese, yogurt, sugar, lemon juice, vanilla, and salt in a food processor, scraping down sides as needed, until completely smooth. * Pour water to a depth of 1/2-inch into a small skillet over medium heat. Place bowl with gelatin in skillet; stir until gelatin dissolves, about 2 minutes. Remove bowl from skillet. * With processor running, drizzle gelatin into cream cheese mixture; mix until well blended. Pour into prepared crust. Tap pan firmly on the counter to break up any big air bubbles. Smooth top. Cover tightly with plastic wrap and chill for at least 6 hours before serving.
DO AHEAD Cheesecake can be made 2 days ahead. Keep chilled.
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