It's the "last boss" so it's a hard one, but here's a hint:
The "1 3 7 4 2 5 6" represents the positions in your item list. Now where did you get those items...? Go back and look!
If nothing happens after you entered your 7-digit code at the gate, it's the wrong code.
The Stick represents the 7th digit (since the red 7 is at the third position), and its description says "found on the conference table". Go back to the table and see where you found the stick (marked by a circle), and find the corresponding picture. It's the brown "2 7 5" strip, so the 7th digit is 2. Go on.
