UPDATE 4-Top producer Chile sees copper output up 3 pct this year

* Chile seen producing 5.596 mln tons of copper this year * Chuqui mine, launch of Ministro Hales mine to lift output * Copper prices seen at $3.57/lb this year, dropping in 2014 * Supply growth outlook weighs on price rise on Monday * Cochilco sees global copper demand up 1.5 pct in 2013 SANTIAGO, Jan 28 (Reuters) - Chile is seen producing 5.596 million tonnes of copper this year, up 3 percent from 2012 levels, as heavy investment in mines in the world's No. 1 producer pay