Getting a car serviced is no guarantee of it passing the MOT, as something might be missed
Perhaps the best way of doing it would be to take it to a MOT only garage for the MOT (preferably one that does a free retest), then take it to a garage for a service and rectification of any failure...
You say your car will pass, so that would indicate you are either a certificated MOT tester or are aware of all the test criteria, and are sure it is in a condition to satisfy each part of the test criteria?