Find Bilguun's shelter, and search for any clues of his presence

How do you complete "Find Bilguun's shelter, and search for any clues of his presence"?

This is step 2 of 2 in Keeping an Eye Out, given by Celeste. It is completed on The Blue Gate.

• Keeping an Eye Out
• The Blue Gate

What are the other objectives in Keeping an Eye Out?

Keeping an Eye Out has 2 objectives in total: Locate the collapsed highway by the southern edge of the Barren Clearing and Find Bilguun's shelter, and search for any clues of his presence.