President Barack Obama speaks about the Affordable Care Act, Thursday, Sept. 26, 2013, at Prince George’s Community College in Largo, Md. The president is promoting the benefits of his health care law before new insurance exchanges open for business next week. (AP Photo/Pablo Martinez Monsivais) by Jim KuhnhennAssociated Press Writer WASHINGTON (AP) — This time, President Barack Obama says, he’s not budging. This is the confrontational Obama, the “Make my day” president, betting Republicans blink to avoid a government shutdown or a first-ever default of the nation’s debts. It’s a proposition not without risk and one with a history of last-minute accommodations on both sides. Brinkmanship between Obama and congressional Republicans has often stopped at the precipice’s edge.