The service manual does not contain the detailed diagrams nor the drawings of the PCB tracks as it is based on the modern principle of exchanging defective electronic cards with new cards.
It is not planned to repair the cards yourself.
So, it is necessary either to inquire with the ESAB representative on the possibility and the cost to exchange the card,or to do reverse engineering ....
If you do not help, without the diagrams, we also can not help you ....
Follow the tracks of the printed circuit and look for where the 5V power supply for logic circuits is coming from and why there is no voltage .... It seems to me that the 5V is produced from 19V or 24V ... .
Avoid changing components if you are not 100% sure that the part is defective.
Be very careful, in this device, there are high voltages that are not isolated from the network, it is very dangerous.