* U.S. January real consumer spending flat * Jobless claims fall in latest week * February ISM falls to 52.4 * Construction spending down 0.1 percent in January By Jason Lange WASHINGTON, March 1 (Reuters) - Growth in U.S. manufacturing unexpectedly cooled in February and consumer spending was flat in January for the third straight month after accounting for inflation, casting a pall over the economic outlook. The Institute for Supply Management said on Thursday its index of national factory activity fell to 52.4 last month from 54.1 the month before. The reading was shy of expectations of 54.5. U.S. manufacturing ... (full story)