fix: onset router — state-aware options instead of first-run menu for everyone

[aarontrowbridge]

Problem — The onset router offered a first-run option set (application entry cards, "start from a system") regardless of who was asking. A returning researcher with an active problem, a campaign ledger, and a fleet got the same menu as a fresh install — so the greeting defaulted to pulse-design framing instead of reflecting the studio's actual state.

Approach — Make the router state-aware by instruction: the options are composed from the live stack state (active problem, campaign ledger under the personal vault's sessions/, fleet line) — resume options appear ONLY when the state supports them; first-run entry cards appear only when no profile is recorded. A specific opening ask still skips the question entirely.

Acceptance Criteria

• The router mandates the single question-tool ask ("What do you want to do today?") for openers without a specific request.
• Resume-active-problem and resume-campaign options are marked ONLY-when-state-present.
• First-run entry cards render only in the no-profile branch, replacing the resume/fleet options.
• The never-a-dead-end and no-silent-heuristic rules survive the rewrite.

Source

Follow-up observed live while tuning the onset greeting (hand-applied to the canonical server's staged prompt first; this lands the same text in the repo).

Notes

Router text is pure (buildRouterSection(visible)); golden router-section.md regenerated. Verification: router tests updated and green, golden parity 5/5, extension suite 1209 passed / 5 skipped / 100 files, typecheck clean.