It is strange and I'll be interested to hear what the outcome is when you visit the dealer. Don't let them fob you off with the old chestnut "They're all like that sir" because they certainly aren't and if they do try it on, insist they let you drive another of their cars to prove a point.
I could understand if it was just the brakes. I've been told of new cars that have been sitting around in the open for a long time, that have formed rust polyps on the discs and will cause vibration when braking until they've worn smooth, but of course, your car shouldn't have been hanging around for long enough for that to happen.
I could understand clutch judder, I've had it myself on a brand new car, but both together seems strange unless you're changing gear at the same time as braking and a juddering from either brakes or clutch could manifest itself through the other.
I'm intrigued now and sad for you that you appear to have a car that's left the factory in a poor state. Of course, it's not impossible that the car has been mistreated somehow in its first 10 miles.
If it's truly a fault with the car and the dealer can't fix, you have the right to reject if the car is not fit for purpose. Not an easy thing to do in the current climate, because we know it can take months to source another car. Good luck.