NEW YORK — Patti LuPone won’t be lunching for the foreseeable future. The Broadway icon announced Sunday that she has tested positive for COVID-19 and will miss more than a week of shows of “Company” on the Broadway stage. “Hi Dolls. I showed up for Saturday’s matinee, tested positive for Covid with 3 tests,” the 72-year-old singer tweeted. “Unfortunately, I’ll be out of the show for 10 days. I’m so sorry.” A spokesman for the production told the Daily News that “increased testing protocols” went into place at the Jacobs Theatre in response. “She is home resting, and everyone wishes her a spee…