fix(lcm): converge summary and git-correlation projections for retained sessions

[ScriptedAlchemy]

Evidence

The active profile retains a large canonical corpus but has no usable discovery projections:

• 244,016 raw messages: Claude 189,397; Codex 33,323; Cursor 21,296
• zero summary nodes/frontiers for every nonempty provider
• incomplete token estimates
• git correlation has zero spans, commits, and projection generation
• a known TraceDecay worktree returns no correlated sessions
• bounded message_search and lcm_grep calls exceed the 30-second dispatch deadline, including a single-session query
• lcm_doctor returned typed application.retained.authority-unavailable twice

Raw rows are present, so this is not an empty-data result. Query deadlines should not be raised; ordinary background convergence should build bounded discovery projections.

Acceptance

• Attribute why summary-DAG, token-estimate, and git-correlation convergence remained at zero while raw ingestion continued.
• Preserve canonical redaction/content authority and typed unavailable states.
• A known TraceDecay worktree returns its correlated session.
• A direct-user 12-hour search over this profile completes under five seconds.
• LCM status reports nonzero current summary and git-correlation generations.
• Recovery is bounded/background and does not block lexical, graph, or ordinary retrieval admission.

[ScriptedAlchemy]

Root-cause audit split this umbrella into four concrete, independently verifiable defects: #848 mounts bounded restart-safe LCM summary convergence; #849 bootstraps git correlation and adds durable graph-publication replay; #850 preserves healthy-provider projection progress while another provider remains typed blocked; #851 fixes unbounded raw LIKE retrieval. Token-estimate incompleteness is currently a truthful bounded status contract, not zero data, so no limit increase or fake completion is proposed. #845 remains a contributing Cursor ingest blocker but does not explain the absent summary/git production callers. Keeping this umbrella open until the children integrate and the preserved profile converges.