How much should I prepare to upgrade a 4-card lodging?

From Fallen London Wiki (Staging)

Let's say, <a href="/wiki/A_guest_room_at_the_Brass_Embassy" title="A guest room at the Brass Embassy">A guest room at the Brass Embassy</a>. Is it difficult to get 8 x Putting the Pieces Together: the Taste of Lacre? What should I prepare?

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