Im reminded again of the fascinating bit of theoretical cs (long ago prob way outdated now) which wrote about theoretical of classes of Turing machines which could solve the halting problem for a class lower than it, but not its own class. This is also where I got my oracle halting problem solver from.

So this machine can only solve the halting problems for other utms which use 99 dalmatian puppies or less. (Wait would a fraction of a puppy count? Are puppies Real or Natural? This breaks down if the puppies are Imaginary).