Nice buy- I missed that one! Good buy, I would have bid on it- probably more.
You are correct, 1929 DWM P 08 with blank toggle and chamber; has police sear safety added, so yes it say police service.
Any markings on the grip straps?
Receiver markings are as "weak" as I have seen, and these "u" suffix pistols suffer badly from these indistinct inspection/proof markings on the right of the receiver.
Enjoy your pistol and welcome to the forum.