This is easy to get around, often the copyright will just be held by a contractor.
Unlike works of the U.S. government, works produced by contractors under government contracts are protected under U.S. copyright law . The holdership of the copyright depends on the terms of the contract and the type of work undertaken.
The threat was sent by IMG Worldwide, a giant entertainment and sports agency, on behalf of the Los Angeles Police Foundation, which is the name of a private foundation that the Los Angeles Times calls “the LAPD’s secretive, multimillion-dollar private funding arm.” The LAPF has purchased surveillance tech, robots, drones, and Palantir licenses for the LAPD.
It's unbelievably dangerous to allow the people tasked with enforcing the state's monopoly on violence to access secretive private funding.
At least the republicans destroying US institutions are mostly working on behalf of other states. Allowing your police to be beholden to private money is such an own goal.
That would be a trademark matter, not copyright. It look like they do actually have LAPD as a registered trademark, but I doubt this would be considered trademark infringement, given the very low odd of "likelihood of confusion".
Did they actually say they own the acronym for LAPD? Because... It's not an acronym. Unless this whole time we've been meant to say LAP'D like the racing term.. Or perhaps lahpud? Laypeedee? Hmmm the last one sounds a little too French adjacent perhaps.