[verb ます-stem] + 出す
出す itself conjugates as a 五段 verb (出す・出した・出さない etc.)
The suffix だす出す (だす) is attached to the masu-stem of a verb to express the sudden or spontaneous beginning of an action. It conveys the nuance that something starts abruptly or bursts out, often unexpectedly.
Both だす出す and はじめる始める can mean "to start doing," but they differ in nuance. ~出す emphasizes that the action begins suddenly or unexpectedly, while ~始める is more neutral and can describe a planned or gradual beginning.
Because of this nuance, だす出す is used with actions that happen spontaneously or involuntarily, such as crying, laughing, or weather changes. It is not typically used for actions you deliberately decide to start.
Since だす出す is a regular godan verb, the compound verb conjugates normally: