Answer:
Absolute monarchy, in my opinion, is flawed. Historically there are many examples of countries being governed by one inept King after another because absolute monarchy gives power to one individual who inherited the role.
A constitutional monarchy, in my opinion, is not much different than a democratic republic. The monarch does not have any real power and the government operates under a constitution that allows the people a voice and democratically elects representatives.
The idea of the United States having a King or Queen is offensive to the idea of the creation of the Republic. Our entire way of government is based on not having a ruling monarch but rather a President with a limited term and written rules that govern that person's power.
A democracy is a system of government that grants rights to its people through elected representatives.
The United States is a Republic. A republic assumes that the people have inherent rights (not rights granted by the government) and that power is held by the people through elected representatives