batches: reorganize files
Created by: courier-new
First part of https://github.com/sourcegraph/sourcegraph/issues/33395. This PR only moves files around, renames a couple, and fixes imports and storybook story paths. It will make the actual changes for https://github.com/sourcegraph/sourcegraph/issues/33395 a lot easier to review.
Test plan
Verified storybook stories render as expected. TS compiler should report any problems with broken imports that I missed. There are no logic changes in this PR.
App preview:
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