Changes to enable the module conversion script

* shorthand -> long for `factory` since the typeformer script doesn't
  know how to handle it.

* Use setter to change `ts.sys` (similar to #35399).

* Fix `loggedIO` with empty namespaces to indicate dependency
  (similar to 50603eda).

* Move `Map` / `Set` stuff from `core.ts` to `corePublic.ts` since the
  types are there.

src/loggedIO/loggedIO.ts

@@ -1,4 +1,4 @@
-namespace Playback {
+namespace Playback { // eslint-disable-line one-namespace-per-file
     interface FileInformation {
         contents?: string;
         contentsPath?: string;
@@ -445,3 +445,7 @@ namespace Playback {
         return wrapper;
     }
 }
+
+// empty modules for the module migration script
+namespace ts.server { } // eslint-disable-line one-namespace-per-file
+namespace Harness { } // eslint-disable-line one-namespace-per-file