June Nymex natural gas (NGM24) on Tuesday closed down -0.080 (-2.91%). June nat-gas prices Tuesday fell back from a 4-month nearest-futures high and closed moderately lower. A mixed weather outlook sparked long liquidation in nat-gas prices Tuesday after the Commodity Weather Group said forecasts for the eastern part of the US would move cooler from May 26-30, curbing electricity demand for air-conditioning usage. Nat-gas prices Tuesday initially rallied to a 4-month high on forecasts for the southern third of the US to see well above-normal temperatures from May 24-31, with excessive heat in …