I assume the other contactor has terminals 13 and 14 for the auxiliary which would be NO. If the machines are identical including the starter someone has almost certainly messed with it so either suggest you match the contactor from the other machine and copy how it was wired or switch the...
21 and 22 is NC that wouldn't normally be the case for DOL control. Are you sure someone else hasn't fiddled with it.
What would happen if it is NC instead of NO it would be permanently on but you say there is nothing in 21.
The motor circuit is normally and triple pole and neutral socket for a motor. They should demonstrate the testing and sequence of tests and give you practice time, the sequence is important to remember.
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