Depends if the immobilizer chip enjoyed being soaked in Persil non-bio or not. I believe that bit is part of the key. The link is just the generic fob for the alarm/CL which can be added to the car easily enough. The immob needs coding by the dealer or someone with VAG-Tacho or some other app, but try a new fob in the first instance.
For reference, a brand new key (both parts) cut and coded to the car is approx. £240 from the dealer.