Prepare the Dough: In a food processor, combine flour, salt, and sugar. Pulse briefly, then add shortening and butter. Process until coarse crumbs form. Gradually add ice water until a firm dough forms.

Divide and Roll: Turn out dough onto floured surface. Divide into two halves; wrap one half and refrigerate. Roll the first half into a circle for the pie dish.

Cut the Strips: Roll out the second half and slice into 1/8-inch wide strips. Chill briefly to firm.

Create the Braid: Select 5 strips, pinch ends together, and braid by crossing outer strips over the center, continuing until braided.

Assemble the Pie: Fill the pie shell with filling and fold overhanging edge. Brush edges with beaten egg.

Attach Braids: Lay braided strips around pie edge, pressing gently. Brush with egg wash.

Bake: Preheat oven to 375°F. Bake pie for 45 minutes, then lower rack for an additional 10-15 minutes until bubbly and golden.

Cool and Serve: Let pie cool for 30 minutes before serving.