Preheat oven to 350°F (175°C) and line a 9×13-inch pan with parchment paper

Combine flour, powdered sugar, and salt in a bowl

Cut in cold butter until mixture is crumbly

Press crust mixture firmly into the prepared pan

Bake crust for 18–20 minutes until lightly golden

Beat cream cheese until completely smooth

Add sugar and mix until combined

Add eggs one at a time, mixing on low speed

Stir in lemon juice, lemon zest, and vanilla extract

Gently mix in flour until just combined

Pour filling over warm crust and spread evenly

Bake for 30–35 minutes until edges are set and center slightly jiggles

Turn off oven, crack the door, and let bars rest inside for 20 minutes

Cool completely, then refrigerate before slicing