How to associate a custom object with a conversation when convo is created

We have a custom object that provides key information about our customer sites - a valuable data set for Support operating through Chat and Support Inbox.

To that end, we have Company and Contact being associated with a Conversation (and automatically created Ticket), but while the Custom Object is associated with the Company, we can’t leapfrog that association into the Conversation (and associated Ticket) as well. Key information requires manual steps and new pages, and we’d like to consolidate it all into the Support ecosystem (Conversation UI, associated Ticket).

Is this possible?

I think it would be optimal to add a topic of appeal, so we can separate these two issues

I’m not sure I understand you - this is one issue. Custom object association to convos and tickets (tickets are made from conversations automatically, so it’s just inheriting the associations already available to the conversation).

then I do not know what to advise you

Thanks for the attempt. Hopefully someone else has an idea.