feat(pull): route interactive producers onto the durable queue on pull pilots

[obasilakis]

Summary

Decided 2026-09-16 on #1989: a pull agent only pulls. #2842 (interactive turns first) and #2843 (one turn per conversation) are merged (#3110). This issue routes the interactive producers onto the durable queue for pull-pilot agents, so their turns are claimed by the agent's worker pool instead of pushed.

Scope

1. pull_owns_dispatch covers interactive triggers on pilots (not _AUTONOMOUS_TRIGGERS, which drives alert semantics).
2. Every synchronous execute_task caller waits for the queued row's terminal (dispatch_and_await_terminal) and gets a complete result: Session tab, Workspace portal, public link, Slack/Telegram/WhatsApp, rooms, paid, MCP inline auth, validation, run-now.
3. Server-derived conversation_key per entry point.
4. persist_session carried through the queue so a cold session turn writes its transcript.
5. One conversation guard: the Redis ResumeLock comes off the pulled path.
6. Pull sink parity with the push finalization these callers rely on; system prompt parity.
7. Images/files and the live stream during the queued window handled.
8. Log line when a claim loses the conversation race 3 times (review note on feat(pull): interactive turns first, one turn per conversation (#2842, #2843) #3110).

/chat (UI chat on the agent's in-memory conversation) is a separate follow-up.

Acceptance criteria

• On a pilot, every interactive entry point above produces a queued row claimed by a worker; none pushes
• Each sync caller returns the same result shape it gets on push
• Measured: a person's wait behind a batch backlog on a pilot vs the same agent on push
• Transcript intact after a burst of same-conversation turns (from feat(pull): one turn per conversation at a time — the transcript-safety half of Open Question 7 #2843)
• A pushed turn and a queued turn of one conversation never overlap on a pilot (review note on feat(pull): interactive turns first, one turn per conversation (#2842, #2843) #3110)
• Non-pilot agents unchanged

Parent: #1081 (Phase 4).

[obasilakis]

/claim

[github-actions]

Claimed by @obasilakis. Label status-in-progress added.

Next steps:

1. Create branch: feature/3114-<short-slug>
2. Implement the feature
3. Open a PR with Fixes #3114