Its simple.
Banging the gong in ANY way DOES save you. So you can only get one bear mount, and one set of timed event loot.
BUT, if you want to farm badges, just DONT hit the gong, and every 30 mins, just xploit through the gate and clear bosses. Rinse and repeat. But maybe after a few runs of doing this, go ahead and hit the gong after clearing trash, then easy timed events with no trash! Therefore, 1 easy bear mount every 3 days.