Detect team modes by GAME_TYPE code and sync gametype at match start

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <[email protected]>

lib/state.py

@@ -5,7 +5,7 @@ Tracks server info, players, and teams
 """
 
 import logging
-from .constants import TEAM_MODES, TEAM_MAP, MAX_RECENT_EVENTS
+from .constants import TEAM_MODES, TEAM_MAP, MAX_RECENT_EVENTS, TEAM_GAME_TYPE_CODES
 from .formatter import strip_color_codes
 
 logger = logging.getLogger('state')
@@ -18,6 +18,7 @@ class ServerInfo:
         self.hostname = 'Unknown'
         self.map = 'Unknown'
         self.gametype = 'Unknown'
+        self.game_type_code = ''
         self.timelimit = '0'
         self.fraglimit = '0'
         self.roundlimit = '0'
@@ -36,8 +37,9 @@ class ServerInfo:
         self.match_time_last_sync = 0  # Timestamp of last TIME update from server
 
     def is_team_mode(self):
-        """Check if current gametype is a team mode"""
-        return self.gametype in TEAM_MODES
+        """Check if current gametype is a team mode, by GAME_TYPE code from
+        MATCH_STARTED or by factory title"""
+        return self.gametype in TEAM_MODES or self.game_type_code in TEAM_GAME_TYPE_CODES
 
     def reset_round_scores(self):
         """Reset round scores (for new matches)"""