This PR changes `src/Dialog.js` to `src/Dialog.ts` and rewrites
accordingly. Most of the changes are straight forward; the only
interesting one from a TS point of view is the `DialogType` enum. I
expose it again as `Dialog.Type` to avoid a breaking change.
This PR also exposed some bugs with our ESLint TypeScript settings and
applying the overrides, so I fixed those too.
I also updated our DocLint tool to work on TS source files over JS lib
files if they exist. This is the minimal change to keep the existing doc
system working as we're working on moving away from this system longer
term.