Rotovating-will this cunning plan work?

Sorry S.I.T.G I don't mean to offend, I was just testing the soil temperature..... Honest!

(That's why I've gone a funny colour....I think I'll leave those carrots for another few weeks yet).

I would rotovate then fork through, just keep in mind that the horsetail will come back, it has a very deep root system that seems to survive anything, let me give you an example, when we moved into our new house one of the first jobs I did was to block pave the path, from the time the house was built (over 40years) the path has been concrete, then it had a layer of tarmac on top of that. Within two weeks horsetail had popped its ugly head between the block paving and after 1 month I pulled up some blocks to discover a network of roots. This weed has survived from prehistoric days. Keep digging it out and never let it get the better of you.