Add 'business' profile type and category

Business accounts are cli profiles with businessAddress=True, so each connecting
customer gets their own group chat (handled via the existing chat UI) with an
optional welcome auto-reply. New BUSINESS_TYPES, a /business page + sidebar entry,
and a business variant of the create form. profile/chat pages route via a
_category helper. Adds business_test.py (customer connects -> lands in a business
group, not a direct contact) — passes.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

manager/profiles.py

@@ -132,9 +132,10 @@ def group_member_count(g: dict) -> int:
     return g.get("groupSummary", {}).get("currentMembers", 0)
 
 
-BOT_TYPES  = ["echo", "broadcast", "support", "directory", "deadmans"]
-USER_TYPES = ["user"]
-ALL_TYPES  = BOT_TYPES + USER_TYPES
+BOT_TYPES      = ["echo", "broadcast", "support", "directory", "deadmans"]
+USER_TYPES     = ["user"]
+BUSINESS_TYPES = ["business"]  # cli accounts with a business address (per-customer group chats)
+ALL_TYPES      = BOT_TYPES + USER_TYPES + BUSINESS_TYPES
 
 
 @dataclass
@@ -468,6 +469,13 @@ async def _run_bot(
         settings: dict = {"businessAddress": False, "autoAccept": {"acceptIncognito": False}}
         if bot_type == "user":
             pass  # plain user: auto-accept on, no auto-reply
+        elif bot_type == "business":
+            # business account: each connecting customer becomes a group chat the
+            # operator handles in the UI. Optional welcome auto-reply if configured.
+            settings["businessAddress"] = True
+            welcome = (config.get("welcome_message") or "").strip()
+            if welcome:
+                settings["autoReply"] = {"type": "text", "text": welcome}
         elif bot_type == "support":
             settings["businessAddress"] = True
             welcome = config.get("welcome_message", f"Welcome to {name} support.")