I believe your title could be misleading. The puppies weren't cloned two weeks after the original died, it was that they used cells 12 days after the original died (nearly 2 weeks) which is a long time frame to wait, as you usually want to use the cells while they are well, more alive/fresh. The cloning itself most likely took upwards of 2-3 months, possibly even longer.
That's illegal(and probably immoral to a lot of peope) as of now.
How so? I don't see how cloning can be immoral at all. You may have an askewed idea/vision of what cloning is or may be. It's not the type of cloning you see in many sci-fi shows where they just walk into a machine and boom, a clone pops out. Cloning in the real world is actually what *** does, just without the *** part. They inseminate an egg cell using the DNA of the creature they wish to clone. That means they used this dog's DNA with a fertile egg, then returned the egg to it's host and allowed the animal to carry out a normal pregnancy. These puppies weren't simply produced in a machine from start to end, a dog actually gave birth to these puppies.
Though i do think cloning origans would solve organ shortages if its possible anyway
That's not how cloning works... When we clone an animal, we clone the whole thing, not just part of it. We can't grow organs, in fact, we can't even grow animals. We're just simply placing the DNA from the animal we wish to have cloned into an egg and placing that egg back into its host parent in which it carries out it's pregnancy like normal. They're not grown in tubes in a lab.