fix: deduplicate PAUSED conversion log messages in tick pipeline (bug #337)

docs/circular-deps.txt

@@ -1,5 +1,5 @@
 # Circular Dependencies
-Generated: 2026-06-09T10:03:41.836Z
+Generated: 2026-06-09T12:49:08.595Z
 Found: 2 circular chain(s) — these MUST be fixed before modifying involved files.
 
 1. 1) stores/golem-combat-actions.ts > stores/golem-combat-helpers.ts

docs/dependency-graph.json

@@ -1,6 +1,6 @@
 {
   "_meta": {
-    "generated": "2026-06-09T10:03:39.823Z",
+    "generated": "2026-06-09T12:49:06.615Z",
     "description": "Import dependency graph for src/lib/game. Keys are files, values are arrays of files they import.",
     "usage": "To find what a file affects, search for its path in the VALUES. To find what a file depends on, look at its KEY entry."
   },

docs/project-structure.txt

@@ -228,6 +228,7 @@ Mana-Loop/
 │   │   │   │   ├── melee-auto-attack.test.ts
 │   │   │   │   ├── melee-defense-bypass.test.ts
 │   │   │   │   ├── pact-utils.test.ts
+│   │   │   │   ├── paused-conversion-dedup.test.ts
 │   │   │   │   ├── persistence.test.ts
 │   │   │   │   ├── regression-fixes.test.ts
 │   │   │   │   ├── room-utils-floor-state.test.ts