WASHINGTON (AP) — Beset by growing evidence of patient delays and cover-ups, embattled Veterans Affairs Secretary Eric Shinseki resigned from President Barack Obama’s Cabinet Friday, taking the blame for what he decried as a “lack of integrity” in the sprawling health care system for the nation’s military veterans.Obama, under mounting pressure to act from fellow Democrats who are worried about political fallout in the fall elections, praised the retired four-star general and said he accepted his resignation with “considerable regret.” But the president, too, focused on increasingly troubling allegations of treatment delays and preventable deaths at veterans hospitals around the country.Emerging from an Oval Office meeting with Shinseki, a stone-faced Obama said the secretary himself acknowledged he had become a distraction as the administration moves to address the VA’s troubles, and the president agreed with him.“We don’t have time for distractions,” Obama said. “We need to fix the problem.”One of Shinseki’s last acts as secretary was to hand the president an internal accounting that underscored just how big the problems have become.