Add logs to recycler gibbing and broadcasting. (#26008)

* Add logs to things

* Make the message log be saved as msg because I forgor before.

* Log fails when getting an entity that doesn't exist

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Co-authored-by: ShadowCommander <10494922+ShadowCommander@users.noreply.github.com>

Content.Shared.Database/LogType.cs

@@ -95,4 +95,5 @@ public enum LogType
     /// </summary>
     ChatRateLimited = 87,
     AtmosTemperatureChanged = 88,
+    DeviceNetwork = 89,
 }