According this mower came with a Kohler CV16-43514. This has a DSAI or SAM ignition system and not MDI system. Depends if it been converted or not so will have two control wires or three controls wires plus the HV lead for spark plug.
The Sam control box is no longer available which is why Kohler is now sending out the DSAI conversion kit when the control box fails.
This is the SAM ignition module.
View attachment 59797
And this is the DSAI ignition module conversion kit
View attachment 59798.