Support TypeScript 5 and other TypeScript versions

[corsen2000]

Description

As a developer using vite-plugin-dts I would like to use TypeScript 5. In particular, I'd like to use moduleResolution: bundler, which was added in that release.

vite-plugin-dts currently uses "@microsoft/api-extractor. Unfortunately, this package comes with a specific version of TypeScript. At the time of wring, that version is ~4.8.4.

Suggested solution

if microsoft/rushstack#3891 on @microsoft/api-extractor is merged, then we, in theory, would be able to use any version of TypeScript. I'm unsure if additional code changes may be required in this repository. Unfortunately this PR looks stalled.

Alternative

It may be possible to stop using @microsoft/api-extractor and use the TypeScript API or CLI directly. In one project, I've worked around this by removing vite-plugin-dts and using tsc directly. This works for a basic vite build but not so nicely with vite build --watch.

Additional context

There is an overlap between this issue and #190, but I thought it was worth filing separately.

Validations

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[Tanimodori]

API Extractor 7.35.0 was recently released using TypeScript ~5.0.4 (see PR microsoft/rushstack#4103). Is there any plan to upgrade to TS 5? @qmhc