I found your hat or Helmet , Why you wandered into the Goblin Fortress Is Beyond Me. It was Laying In A Pile Of Stones Within The Bridges. I Did As You said, Bypassed The Satyrs, Ignored the front rectangular door cut into the circular log, and went in through the side passage. The Hat is yours for when you are willing to retrieve it. I look forward to my reward but enjoyed solving this riddle more.
Rhynnala Asantiani.
//To the GM who started this: Great Fun!