EMERGING MARKETS-Latam stocks rise as investors shrug off U.S. shutdown

* Brazil Bovespa up 1.61 pct, Mexico IPC gains 2.86 pct SAO PAULO, Oct 1 (Reuters) - Latin American bourses posted gains and Brazilian stocks capped a five-day slide on Tuesday as investors bet that a U.S. government shutdown was unlikely to drag on long enough to affect global economic growth. Mexico's IPC index rose by its most on Tuesday in nearly two years, while Chile's bourse gained for the first session in six. The U.S. Congress missed a midnight deadline to agree on a spend