Read your captain's sessions from any of your Macs
On a Mac that is not your captain, Your Macs shows the captain's sessions and lets you read one as it goes, without changing anything there.
Open Your Macs in Team on any Mac that is not your captain and press See sessions on, followed by the captain's name. The newest sessions show first; Show all lists the rest. Pick one and its newest messages appear, with who said each: you, the agent, its thinking or a tool. Earlier reads further back, and while the session is open it is read again every ten seconds so you follow it as it goes.
The reading travels over the same encrypted link your Macs already share, and it is read only: the captain answers with the session list or a page of one session and nothing else. The Mac that asks keeps its own place in the session, so the captain holds nothing for it.
If you moved the captain meanwhile, the old one says it is no longer your captain instead of answering for the new one.