Use client logger in more places (core code) (#4899)

* Use client logger for sync

Use the logger attached to the MatrixClient when writing log messages out of
the sync api. This helps figure out what's going on when multiple clients are
running in the same JS environment.

* Use client logger for to-device message queue

* Use client logger in `PushProcessor.rewriteDefaultRules`

* use client logger in `ServerCapabilities`

* Mark global `logger` as deprecated

src/client.ts

@@ -1364,7 +1364,7 @@ export class MatrixClient extends TypedEventEmitter<EmittedEvents, ClientEventHa
         // the underlying session management and doesn't use any actual media capabilities
         this.matrixRTC = new MatrixRTCSessionManager(this);
 
-        this.serverCapabilitiesService = new ServerCapabilities(this.http);
+        this.serverCapabilitiesService = new ServerCapabilities(this.logger, this.http);
 
         this.on(ClientEvent.Sync, this.fixupRoomNotifications);
 
@@ -1386,7 +1386,7 @@ export class MatrixClient extends TypedEventEmitter<EmittedEvents, ClientEventHa
 
         this.roomNameGenerator = opts.roomNameGenerator;
 
-        this.toDeviceMessageQueue = new ToDeviceMessageQueue(this);
+        this.toDeviceMessageQueue = new ToDeviceMessageQueue(this, this.logger);
 
         // The SDK doesn't really provide a clean way for events to recalculate the push
         // actions for themselves, so we have to kinda help them out when they are encrypted.
@@ -1503,6 +1503,7 @@ export class MatrixClient extends TypedEventEmitter<EmittedEvents, ClientEventHa
                 }
                 return this.canResetTimelineCallback(roomId);
             },
+            logger: this.logger.getChild("sync"),
         };
     }
 
@@ -7324,7 +7325,7 @@ export class MatrixClient extends TypedEventEmitter<EmittedEvents, ClientEventHa
      */
     public setPushRules(rules: IPushRules): void {
         // Fix-up defaults, if applicable.
-        this.pushRules = PushProcessor.rewriteDefaultRules(rules, this.getUserId()!);
+        this.pushRules = PushProcessor.rewriteDefaultRules(this.logger, rules, this.getUserId()!);
         // Pre-calculate any necessary caches.
         this.pushProcessor.updateCachedPushRuleKeys(this.pushRules);
     }