"To support the action" means to help or endorse a particular course of action, whether by providing assistance, resources, or expressing approval. Full definition
As an example, most economists now support action on climate change because they believe the costs of doing nothing are greater than the costs of taking action. (ethicsandclimate.org)
I don't support those actions at all, but I can appreciate them for what they are. (engagedfamilygaming.com)
It is the goal of each professional development opportunity that the participants create a quality product that will support an action plan, the charter school, and student outcomes. (coloradoleague.org)