Rename: jarvisChat → cAIc (product name)

- jarvisChat/JarvisChat/jarvischat → cAIc/cAIc/caic (branded/lower)
- JARVISCHAT_ env vars → CAIC_
- jc- script/config prefix → caic-
- jarvis_rag → caic_rag
- jarvischat.db / volumes → caic.db / caic_*
- AMQP vhost/user jarvischat → caic
- Syslog, loggers, docstrings all updated
- 47 files, zero stale references, 148 tests pass

cluster.py

@@ -1,5 +1,5 @@
 """
-JarvisChat — Cluster protocol implementation.
+cAIc — Cluster protocol implementation.
 Maintains node registry, event log, coordinator state, and ping-based health checks.
 """
 import asyncio
@@ -11,7 +11,7 @@ from datetime import datetime, timezone
 from amqp import publish, subscribe
 from config import AMQP_EXCHANGE_ADMIN, AMQP_EXCHANGE_SYSTEM
 
-log = logging.getLogger("jarvischat")
+log = logging.getLogger("caic")
 
 CLUSTER_NODES: dict[str, dict] = {}
 CLUSTER_EVENTS: deque = deque(maxlen=1000)