Assign owner to a conversation

Thank you for taking the time to help me. I think your solution does not fit what I need, because the chat I am developing is through the official Whatsapp integration, listening to Hubspot webhooks. From the response of a possible lead, return a predefined message. And within that conversation flow, the user can choose to continue the conversation with one or another owner. My idea is that when the user chooses with whom to continue the flow, the owner is assigned to the conversation using the API.