The "quaint law" is the Constitution. DC isn't a state, so it has no (real)representation in Congress. Either statehood, a merger into Maryland, or a Constitutional Amendment is needed.
And the reason this has no traction is that it would be guaranteed Democratic votes, and would require 2/3 votes in Congress. That's why there was a recent proposed compromise (probably unconstitutional) to give DC one representative and give an extra representative to Utah to balance it out.
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