In the hopes that it might help, I've finally replaced the trusty multimeter.
There's an 8 pin block on the motor. There's continuity between 1-2, 1-3, 2-3 and 6-7; 6-7 is 24Ω, and the other 3 are 1-2Ω
There's also continuity between 5 and the brushes. The brushes show 5Ω...