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The condition "x other users apply the tag" sounds interesting, but is harder to detect.
IMO "gaming for badges" is not very common. Many people tend to ignore them altogether.
Possibly (if this indeed is a serious problem) a better solution is to increase the number of required use count of the tag (it's available via the live settings)? Then the intent of the user will be more clear - posting just to get the badge or not. In the worst case the admin can intervene.