While the crust bakes, in a large bowl with an electric mixer on medium-high speed, beat the cream cheese until fluffy. Gradually add the sugar and beat until blended.
Beat in the eggs, 1 at a time, mixing just until just blended after each addition. Then add the egg yolk, scraping down sides of bowl. Beat in the lemon juice, vanilla, and salt. Sift the flour over the filling and beat on low speed just until blended.
Spread the filling over the cooled crumb crust.
Place the foil-wrapped cake pan in a large roasting pan. Place the roasting pan on the oven rack, pulling the rack out slightly. Carefully add enough hot water to the roasting pan to come halfway up the sides of the cake pan. Bake the cheesecake in the water bath, rotating the pan once halfway through, until the center is softly set, about 1 hour and 15 minutes.
Carefully remove the roasting pan from the oven. Let the cake pan stand in the water bath for 5 minutes. Remove the cake pan from the water bath and transfer it to a wire rack. Using a sharp, slender knife, work around the sides of the pan to loosen the cake. Cool completely at room temperature. Cover and—here's the hard part—refrigerate overnight or for up to 2 days prior to slicing.