This is easy with AI Answers in Factors mode.

First, in the Label Set widget under the Sources bar, create a new named set such as french. The app sets up cause_french / effect_french columns and switches you into that set.

Run AI Answers (Factors) with a prompt like "translate each factor label into French". The translations write into the experimental set; your originals stay untouched.

Flip between languages in the same widget: pick default for the original, pick french for the translation. The map and tables refresh to match.