Spring is in full bloom in New York, and so is Padma Lakshmi’s career. “I was passing by Central Park, and all these beautiful flowers, magnolias, cherry blossoms, were in bloom,” says the glamorous host of “America’s Culinary Cup,” whose finale airs next week. Over Zoom, she reflects on the triumph of making a show that was truly hers — and the glittery pieces she wore while filming it.  “I’ve always had an affinity for jewelry,” Lakshmi, 55, tells Alexa. “Women buy jewelry to have talismans. It’s very sentimental.” Viewers of “Culinary Cup” may have noted a couple of Lakshmi’s own favorites on the show. “I have some very select pieces I’ve amassed over the years,” she shares. “I have a beautiful cocktail ring from the ’60s that I wore in the finale. And in the saucier challenge, I wore this topaz necklace, with these sharp oval bezel-cut stones, that I got in India over 20, 25 years ago.”  For her Alexa shoot, Lakshmi kept it simple.…