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/session/startup.go

@@ -66,10 +66,8 @@ func FormatStartupBeacon(cfg BeaconConfig) string {
 
 	// For assigned, work is already on the hook - just tell them to run it
 	// This prevents the "helpful assistant" exploration pattern (see PRIMING.md)
-	// Use `gt prime --hook` instead of `gt hook` so polecats get full role context
-	// including THE IDLE POLECAT HERESY guidance about running `gt done`.
 	if cfg.Topic == "assigned" {
-		beacon += "\n\nWork is on your hook. Run `gt prime --hook` now and begin immediately."
+		beacon += "\n\nWork is on your hook. Run `gt hook` now and begin immediately."
 	}
 
 	// For start/restart, add fallback instructions in case SessionStart hook fails

internal/session/startup_test.go

@@ -26,7 +26,7 @@ func TestFormatStartupBeacon(t *testing.T) {
 				"<- deacon",
 				"assigned:gt-abc12",
 				"Work is on your hook", // assigned includes actionable instructions
-				"gt prime --hook",      // full context including IDLE POLECAT HERESY
+				"gt hook",
 			},
 		},
 		{