2004 Audi A4 key fob compatibility?

Hello I purchased a 2004 Audi A4. I am considering purchasing an uncut Key fob to have the dealer program and cut the key.
The sellers says “ Please verify part #’s with your Audi dealer or compare them to your existing remote before purchasing. If the #’s match, IT WILL WORK YOUR VEHICLE
In addition to an uncut keyblade this remote also has an entire new key assembly with an unprogrammed replacement transponder to eliminate transponder programming issues. “
The sellers advertises that it says 8Z0 *** *** F – FCC ID:M*******7231 which matches my key, however there are other numbers that are not available. What numbers are crucial concerning compatibility?If those match you should be good, as far as cutting the key go to a VW dealer instead of Audi, it will be cheaper. And dont let them charge your to program it, you can easily do that yourself.