Getting into calisthenics and struggling with imbalance (weightlifting for a little over a year and decided to switch)

Hello! I hope someone may be able to help, I am a new in training calisthenics and am looking for guidance regarding what seems to be a strength imbalance. When I lift my arms seem to be the same size, but during dips and pullups my right side takes over, triceps and lats. I don't know if it's a form thing or not (I've been taking videos trying to make sure I'm symmetrical), but my right side is the only side that feels it after. Will continuing with calisthenics "strengthen" my right side more (if that is the issue), or would you recommend something completely different?

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