Are the cards a one-time use?

From GameRant:

The foil cards are an interesting development in Rise of the Tomb Raider‘s microtransaction model. Normal cards disappear after being used in-game, but foils are permanent.

This EuroGamer article concurs with this statement:

Packs contain common cards, which can be used a single time, and foil cards, which can be used repeatedly.

From the Expedition Cards wikia page:

Generally speaking, five star cards are foil and as such can be used infinite times, but it's worth noting that outfit and weapon cards also are permanent, regardless of their individual rarity. Foil cards are easily distinguished by their gold borders and distinct shine in the card selection screen.