Assigning OrgID to API-Created Assistants and called via Web Snippet

I have several OrgIDs defined in my project, and I currently create my assistants via an API call, which are then used in a website through a web snippet. Whenever I create or call an assistant, I want to assign it to a specific OrgID. Can anyone guide me on how to correctly assign an OrgID to an assistant during creation via API or when embedding it in a web snippet? Any help would be greatly appreciated! Thanks!
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