"I thought we were going out to eat" is suitable (i) if the thought and the possible act of going out to eat were both in the past; and (ii) if the thought is current and the possible act of going out to eat is in the future. "I thought we are going out to eat" doesn't sound right to me.
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pleasehelpwhat if I still think that we are going out to eat? Could the second one be used?You're thinking too much! Don't use the second one. No.