It is not unusual to see a replacement logic board with no serial number, as Apple only provided a utility to service personnel to 're-serialize' a logic board with the machine serial number after replacing it, about 18 or so months ago. Prior to that time, or if the procedure to encode the serial number was not followed, queries which relied on a response from the board would produce a string of zero or null characters.
Valid Apple Hardware Test error codes related to logic board failure for that product family are 4ETH, 4IRP, 4MLB, 4PRC and 4SNS. Nothing like 212C appears in the published list of codes.
The error mysteriously appears related only to machines manufactured for distribution in the European Union: yours was purchased initially in France.
Because your machine is subject to the defective capacitor issue, I would remove the back and carefully inspect the clusters of capacitors for any evidence of bloating or leaking. It is possible to have received a logic board from Apple which itself later developed this problem, if the potentially defective capacitors were used to fabricate or refurbish it. Any defect should be readily obvious.