WILD in a dream?

So this was an unexpected experience. Basically I woke up at 4 and was doing a WBTB+WILD. As I slipped into the dream I seemed to have lost the idea of being aware of the dream but kept the idea of doing a WILD. So I entered the dream scene in a vehicle and I knew that I was about to do a WILD. So in my dream I did a WILD but fell asleep again. I noticed something wrong within my dream within a dream and I did an RC and was "lucid" for a brief period. Then I 'woke up' but was still in my dream. This happened twice but both times I woke up I was actually still dreaming. I didn't wake up in my room but a dream scene. So I found it interesting that I kind of retained my desire to WILD and achieved some kind of sub- lucidity. Would that be considered lucidity even though it was a dream within a dream? I didn't ever manage to realize that I was still in a dream unfortunately. Kind of exciting but bizzare experience