chore: sync formula and recovery work

- Update mol-deacon-patrol formula
- Fix sling helpers, doctor branch check
- Update startup session and tests
- Remove obsolete research doc

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

internal/cmd/sling_helpers.go

@@ -319,7 +319,7 @@ func injectStartPrompt(pane, beadID, subject, args string) error {
 	} else if subject != "" {
 		prompt = fmt.Sprintf("Work slung: %s (%s). Start working on it now - no questions, just begin.", beadID, subject)
 	} else {
-		prompt = fmt.Sprintf("Work slung: %s. Start working on it now - run `gt prime --hook` to load context, then begin.", beadID)
+		prompt = fmt.Sprintf("Work slung: %s. Start working on it now - run `gt hook` to see the hook, then begin.", beadID)
 	}
 
 	// Use the reliable nudge pattern (same as gt nudge / tmux.NudgeSession)