You might have everything your need right under your nose to figure out what is broken. You have multiple of every parts on the board, except the logic chip LS374. The same circuit is used 5 times. I would disconnect J115 , J119 , J120 and J121 if anything is connected to them. Then , using the schematic I would compare readings on the broken line with readings on a line just below and see what differs. All parts should test very similar.. Probes on R20 should be very similar results to probes on part R9, R15,R14,R17,R11. Same for R21,R9 and all the 10k in that column. Then the transistors Q17,Q9,Q13, etc.. Diode test on the transistors.
Once you identified a possible broken part (The triac mostlikely) you can swap it with the triac in the line below and see if your issue moved, and if a working triac is enough to fix it. It's not impossible that the current went back up to U1 ,the LS374 which drives these triacs. Just as you did for each line , measure pins 2,19,5,16,6 on U1 with a voltmeter , from pin to ground. They should all be very similar. With power off , you can measure continuity between the U1 pins and ground , to see if the chip grounded.
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