That all seems correct.
Most people think of ISO as a fixed property of the film, so your 'exposure index' would be 200, but everyone knows what you mean.
Now that you have your EI, one way to get your development is to shoot a Zone VIII at EI 200. Then print that (at your min exposure for max black) with part of the paper covered. If it is just off-white your film development should be good for printing most scenes on multigrade paper.
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