How do Dark Bargains and Species Traits interact?

I am starting a new Crooked Moon campaign and gave everyone their choice of a Dark Bargain at character creation. I have a player who made a Threadborn and is taking the Shrouded Spirit Dark Bargain. However, we ran into some conflicting information and I wanted some clarification on how to run this.

The Threadborn is a Construct according to its creature type. It also has the Sewn Nature feature: "You don't require air, food, or drink."

The Shrouded Spirit has the Unholy Appetite feature: "You must consume one pound of raw flesh (it needn’t be fresh) per day or suffer Malnutrition."

From my understanding, Constructs can't suffer from Malnutrition so would this player's Threadborn character be able to bypass the Shrouded Spirit's Unholy Appetite by species traits alone, or does the Dark Bargain override the species traits to impose that drawback?

Thanks for your help!