Counter-working is a term used to mean working against something or someone. The opposite of counter-working would be working together or collaborating. Collaboration involves people or organizations working together towards a common goal. The antonyms for counter-working could also include supporting, facilitating, and promoting, which all describe actions that are taken to facilitate positive outcomes. Supporting means to provide aid or backing, while facilitating refers to making something easier to achieve. Promoting involves actively advocating for something or someone. All of these antonyms are related to positive and constructive actions, rather than actions that are counterproductive or damaging.