That's already happened. The AGI's are called corporations. Most governments have failed to regulate corporations successfully, and have been unable to keep them from becoming almost powerful enough to challenge governments.
The accelerationists for corporations were a group of economists, led by Milton Friedman, and a group of business leaders, organized by the U.S. Chamber of Commerce. In the 1970s and 1980s, they pushed the ideas that corporations are responsible only to their stockholders, and that government should not interfere with the concentration of corporate power. Those were not mainstream ideas of the 1930s to 1960s. The corporate accelerationists succeeded. That's when corporations escaped the sandbox.
Now that's an "alignment problem".