Say it ain’t dough. After 124 years, Caputo’s Bake Shop , a fixture of Brooklyn neighborhood Carroll Gardens, has baked its last loaf of Italian bread. And owner James Caputo is overwhelmed at the thought of saying goodbye.  “I haven’t cried since I was a child, and I thought I never would again,” Caputo, 54, told The Post of the wrenching, sudden decision to close the family business that his Sicilian immigrant great-grandfather originally opened at the dawn of the 20th century.  “I can’t stop getting emotional over this. But at the same time, a burden has been lifted from my shoulders.”  James Caputo, owner of Caputo’s Bake Shop, poses inside the beloved, nearly cleaned-out bakery on Thursday.…