Without de-soldering anything, just put one probe on the 3rd prong of the IEC, which is earth ground or AC ground, and the other anywhere on the chassis where there is bare metal. You ought to see continuity.
It’s very simple - from @filipm tests - both the chassis and board are floated at 33 ohms above ground. That is a problem as @atmasphere has pointed out.
If you look at the IEC earth pin there is only 1 33 ohm resistor attached from the earth pin to the board and ground post.- nothing else.
So the suggested fix is to isolate the chassis from the board and ground it to the IEC earth pin directly bypassing the 33 ohm resistor as suggested by @atmasphere and according to EU regulations.
In order to achieve this @filipm needs to be sure that there are no other ground connections between the board the the chassis, otherwise he will end up with other issues.
The ground lug should be disconnected from the board and earthed to the chassis.
If you go back and read my posts you will get it.