One thread
Attached to the case, not to an inbox.
Whoever picks it up sees the consultation, the quote and the last four messages without opening anything else.

Your site, your widget
Configured here, rendered there.
The chat widget is set up inside RootLogic and appears only on the sites that embed it. Conversations land in your own tenant, which is the part that matters: a web chat whose transcripts live in a vendor's console is a marketing tool, not a record.