How do I get the basket?

Hint 1 of 8:

The port authority did say that he wanted an Atlantean artifact, so
find one.

Hint 2 of 8:

There's an Atlantis dig site on the mountain that you will want to visit.

Hint 3 of 8:

Did you notice the spindle next to the door in the site?

Hint 4 of 8:

You should have gotten something from Trottier to help you.

Hint 5 of 8:

Now read the Lost Dialogue to see if there is something you can do with it.