Im a handyman, so I have to get replacement cabinet doors all the time for customers. Go on line and type in "Cabinet replacement doors". You will get lots of sites where you can order them. They will come unfinished, so you will have to stain it to match the old door. You should be able to get a style very close to the old one and size to match. Plus you can get them in Oak, Birch, Maple, etc., whatever your old door is. Cost should be about $75, including shipping. Maybe a little less of more depending on the size and style.
I ordered on for my TT, was able to get it in Oak and the same style as my existing cabinets. After staining it, it looks just like the rest of my cabinet doors.
But,I would try the dealer first, as others have suggested.
Good Luck