Enable console logging for tests

[aidinabedi]

Currently, all logging in the library is silently discarded when running the tests. Which makes detecting issues and debugging unnecessarily a lot harder. The PR fixes this by making the following changes:

1. When tests spawn a jsdoc child process (via jsdoc-api), configure spawn so that stdio is inherited.
2. Because jsdoc-api doesn't provide a way to configure the spawn in the main API, use lower-level APIs. This is what the new file jsdoc-api.js does (and jsdoc-api.d.ts provides typings for).
3. Remove the old jsdoc-api.d.ts, which is no longer needed.

As a bonus, I also fixed the following warning that otherwise wouldn't show up in Namespace Checks:

[TSD-JSDoc] Unable to resolve type for an unnamed item, this is likely due to invalid JSDoc.
Often this is caused by invalid JSDoc on a parameter. Defaulting to `any`.