Lets take the resistance readings of the inverter transformer's high Voltage windings.
Check the resistance between pin 1 and pin 2.
Check the resistance between pin 3 and pin 4.
BTW, you can have bad lamps problem and you will need test lamps (at least two) to verify.
OK, they do not have low resistance which is typical the symptom when they failed, you are getting the readings in the thousands so they do not look bad.
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