If your Controller Auto Tuned at 350°C then that proves that your SSR is functioning OK.
EE3 is Loop Break Alarm so check your thermocouple.
Thermocouple.How is your thin temporary thermocouple constructed?
Has it shorted somewhere behind the Hot Junction?
Controller Settings.What Operating Range have you selected?
What Operating Mode have you selected?
Are you also using Setpoint2?
Output 1 Cycle Time?
What are the existing PID settings?
Sorry for all the controller questions but there are a few parameters that can screw up the controller operation if not set correctly
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