How do I complete the sultan's challenge?

Hint 1 of 20:

Before you do anything, take careful note of the Vizier's clothes.

Hint 2 of 20:

The colors are very important.

Hint 3 of 20:

A nice massage might relax you.

Hint 4 of 20:

So sit down.

Hint 5 of 20:

Watch the girls closely while you have the chance.

Hint 6 of 20:

To go anywhere, you'll need a cover.

Hint 7 of 20:

Veils make a nice cover.

Hint 8 of 20:

Wait until the girls all leave and take one.