Since it's brand spankin' new, just get it to the dealer ASAP because an internal engine squeal doesn't sound very good... squeals are usually caused by oil starvation. My distributor squealed when it bit the dust and seized up...
...but the tapping part is normal for cars with solid lifters. Metal expands with heat, so your valves are actually shorter when they're cold. It's only a few thousandths of an inch, but that's all it takes to make one tick. You might need a valve adjustment. Check your maintenance schedule in the glove box for how often it should be done.