For crust: Combine flour, sugar, and salt in processor; blend 5 seconds. Add butter and blend, using on/off turns, until coarse meal forms. Add egg yolk and cream. Using on/off turns, blend until moist clumps form. Gather dough into ball. Press dough evenly into 9-inch-diameter tart pan with removable bottom. Pierce dough all over with fork. Chill 1 hour.: The first impression should be of a uniformly mixed dry base, with the surface of the flour lightly dusted and the sugar dispersed. When you pulse in the processor, listen for brief, clean pulses rather than a continuous motor hum, which indicates overmixing. The aroma will still be mostly neutral at this point, with just a faint sweetness. This short blend distributes the salt and sugar so every bite of crust tastes balanced. If you overblend, the texture can become mealy and the finished crust may be tough, so err on the side of underworking here. A common mistake is running the processor too long, which warms the butter and changes the dough texture.
Preheat oven to 375°F. Bake crust until golden, pressing with back of fork if crust bubbles, about 22 minutes. Cool.: As you add the chilled cubes of unsalted butter , you want to see pieces about the size of coarse crumbs or small peas. The visual clue is flecks of butter across the dry mix, which will produce a flaky texture after baking. The sound should be intermittent pulses rather than a constant high pitch. You will not yet smell anything buttery or rich because the butter is cold, but the tactile cue of small butter pieces is critical. If you get a uniform paste, that means the butter melted into the flour, and the crust will be dense rather than flaky. Avoid warm hands and a hot processor bowl to prevent this issue.
For filling: Stir cream and cornstarch in medium bowl until cornstarch dissolves. Add eggs, egg yolks, and vanilla; whisk to blend.: At this stage the dough begins to come together into moist clumps that hold when pressed. The texture should be slightly tacky but not wet, and you will notice the mixture start to cohere when pinched between fingers. The presence of the egg yolk and whipping cream brings sheen and suppleness. If the dough feels crumbly and will not hold, it is too dry; add a teaspoon of cold cream at a time. Conversely, if it becomes sticky, you have added too much liquid. Mixing just until clumps form is essential to maintain flakiness after baking.
Boil vinegar in heavy medium saucepan until reduced to 1/4 cup, about 3 minutes. Add 3/4 cup water, sugar, and butter. Stir until butter melts; return to boil. Gradually whisk vinegar mixture into egg mixture; return to pan. Whisk until custard thickens and boils, about 1 minute. Strain into bowl; cool. Spread custard in prepared crust. Cover and chill tart at least 3 hours and up to 1 day.: The dough should feel cool and slightly firm when you gather it into a ball, and pressing it into the tart pan is tactile therapy, smoothing it until it forms an even layer with no thin spots. Use the pad of your hand to press up the sides and across the bottom, aiming for consistent thickness so it bakes evenly. When you pierce the surface with a fork, the tiny holes allow steam to escape and prevent bubbling. Chill for one hour to relax the gluten and firm the butter, which helps keep the crust crisp. A common mistake is skipping the chill, which can cause the crust to shrink or become tough while baking.
For topping: Cover with berries and then cover loosely and chill until ready to serve. (Can be made up to 6 hours ahead.): Preheat to ensure the oven is hot and stable, which promotes good oven spring for the crust. As the tart bakes you will see the edges turn a warm golden color and the aroma of butter will become more prominent. If bubbles form, gently press them down with the back of a fork to maintain an even surface. Baking about 22 minutes should yield a crisp, evenly browned shell. Once out of the oven, let the crust cool to stop carryover cooking and to protect the custard from melting when added. A common error is opening the oven frequently, which causes temperature fluctuations and uneven browning.
For filling Stir cream and cornstarch in medium bowl until cornstarch dissolves Add eggs egg yolks and vanilla whisk to blend: When you whisk the whipping cream with cornstarch , ensure the cornstarch is fully dissolved to prevent lumps in the finished custard. Adding the eggs and extra egg yolks creates a rich base; whisk until the mixture is smooth and slightly glossy from the vanilla extract . The mixture should smell mildly sweet and vanilla scented, not eggy. Proper blending here leads to a silky custard that sets consistently. A frequent mistake is adding hot liquid directly to eggs too quickly, which can scramble them; temper gently as directed later.
Boil vinegar in heavy medium saucepan until reduced to 1/4 cup about 3 minutes Add 3/4 cup water sugar and butter Stir until butter melts return to boil: Reducing the white balsamic vinegar concentrates its flavor while mellowing its sharpness, producing a rounded acidity that complements the custard. You will see the vinegar bubble and steam as water content evaporates, and the aroma will shift from sharp vinegar to a deeper, almost sweet tang. After reduction, adding the water , sugar , and unsalted butter creates a glossy syrup; the butter melting into the syrup gives it a silky mouthfeel. Return to a gentle boil to meld flavors. Avoid a violent boil which can scorch the mixture and create off flavors.
Gradually whisk vinegar mixture into egg mixture return to pan Whisk until custard thickens and boils about 1 minute Strain into bowl cool: Temper the eggs by adding the hot vinegar syrup gradually while whisking constantly so the eggs warm without curdling. The mixture should become smooth and slightly fragrant, and when returned to the pan and heated, the custard will thicken and then reach a gentle boil that signals set. You will notice the custard coating the back of a spoon and you can draw a line with your finger through it. Straining removes any tiny bits of cooked egg or coagulated solids for a silky final texture. Overcooking at this stage will yield a grainy custard, so watch the temperature and remove promptly once it thickens.
Spread custard in prepared crust Cover and chill tart at least 3 hours and up to 1 day: When you spread the cooled custard into the baked shell, use a spatula to create a perfectly even surface. The custard should be pourable but thick, and spreading should be smooth without drips. Covering and chilling allows the custard to fully set and the flavors to marry; chilling for at least three hours is important for a stable slice. The texture transforms into a dense yet creamy slice that holds its shape. A mistake is slicing too soon, the custard may still be soft and not hold clean slices.
For topping Cover with berries then cover loosely and chill until ready to serve: Arrange the blueberries across the custard in a single layer or as you prefer for presentation. Their coolness contrasts with the custard and their juices add a bright note with each bite. Cover loosely to protect the tart while avoiding moisture buildup that could make the crust soggy. Chill until serving; berries will stay fresh for several hours when refrigerated. Do not add berries too far in advance if they are very ripe, as they may release juice and soften the surface.
Can be made up to 6 hours ahead: This line is a helpful finishing note that means you can assemble and refrigerate the topped tart a few hours before serving without loss of quality. The tart retains its texture and flavor for several hours, making it ideal for events. Keep it chilled and protected from strong odors. A common mistake is leaving it out at room temperature too long, which can affect texture and freshness, especially with berry toppings.