I beat all three battles!
I had trouble with the beetroot, because I couldn't hit it without it hitting me. My winning strategy was to stand on the high ledge and hit the beetroot underneath me until it rotated to face me, after which I jumped down and ran back while it finished its rotation (if that makes any sense)? Not sure this was your solution but it was satisfying!
I enjoyed the second battle too, ducking in and out of the inner turnips. The third battle was rather easy!