A method for recovering a gaseous component from an incoming gas stream (312,..., 2412), comprising: - in a contacting step, contacting (314,..., 2414) the incoming gas stream with a lean aqueous absorbing medium (316,..., 2416) to absorb at least a portion of the gaseous component from the incoming gas stream to form a lean treated gas stream (318,..., 2418) and a rich aqueous absorbing medium (338,..., 2438); - in a desorbing step, desorbing (344,..., 2444) at least a portion of the gaseous component from the rich aqueous absorbing medium at a temperature to form an overhead gas stream (350,..., 2450) and a regenerated aqueous absorbing medium (364,..., 2464); - in an overhead gas stream treating step, treating (352,...,2452, 358,..., 2458) at least a portion of the overhead gas stream to recover a first condensate stream (362,..., 2462) and the gaseous component, characterized by - in a lean treated gas stream treating step, treating (320,..., 2420, 1326,..., 2426) at least a portion of the lean treated gas stream by passing the lean treated gas stream through an indirect cooler fed by cooling water to condense liquid from the lean treated gas stream and to recover the condensed liquid in a second condensate stream (330,..., 2430); - combining (332,..., 2432) at least a portion of the first condensate stream with at least a portion of the second condensate stream to form a mixed condensate stream (316,..., 1216, 1319,..., 2419); - heating the mixed condensate stream to form a heated stream (346,..., 846, 938A,..., 1238A, 938B,..., 1238B, 1370,..., 1670, 1870,..., 2470, 1719, 1819A, 2019A,..., 2419A) from the mixed condensate stream; - recycling at least a portion of the heated stream back to the desorbing step. - in a contacting step, contacting (314,..., 2414) the incoming gas stream with a lean aqueous absorbing medium (316,..., 2416) to absorb at least a portion of the gaseous component from the incoming gas stream to form a lean treated gas stream (318,..., 2418) and a rich aqueous absorbing medium (338,..., 2438); - in a desorbing step, desorbing (344,..., 2444) at least a portion of the gaseous component from the rich aqueous absorbing medium at a temperature to form an overhead gas stream (350,..., 2450) and a regenerated aqueous absorbing medium (364,..., 2464); - in an overhead gas stream treating step, treating (352,...,2452, 358,..., 2458) at least a portion of the overhead gas stream to recover a first condensate stream (362,..., 2462) and the gaseous component, - in a lean treated gas stream treating step, treating (320,..., 2420, 1326,..., 2426) at least a portion of the lean treated gas stream by passing the lean treated gas stream through an indirect cooler fed by cooling water to condense liquid from the lean treated gas stream and to recover the condensed liquid in a second condensate stream (330,..., 2430); - combining (332,..., 2432) at least a portion of the first condensate stream with at least a portion of the second condensate stream to form a mixed condensate stream (316,..., 1216, 1319,..., 2419); - heating the mixed condensate stream to form a heated stream (346,..., 846, 938A,..., 1238A, 938B,..., 1238B, 1370,..., 1670, 1870,..., 2470, 1719, 1819A, 2019A,..., 2419A) from the mixed condensate stream; - recycling at least a portion of the heated stream back to the desorbing step.