Vichy is a must in my opinion, even if you get the worse case situation and get nothing. Southern France being Vichy blocks Italy from being conquered through France. This is a good reason why you may not want to take Switzerland as the Axis.
Naval Base Question
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If you have a territory that contains an IC, and you build a Naval Base, can you build ships that turn as well, or do you build the base and then you can build ships on the next round?
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Have to build on next turn. Newly built naval units may only be placed in sea zone with a Naval Base and IC that were there at beginning of turn.