Unsatisfied peer dependencies on fresh project with `3.6.1`

### Have you read the Contributing Guidelines on issues?

- [X] I have read the [Contributing Guidelines on issues](https://github.com/facebook/docusaurus/blob/main/CONTRIBUTING.md#issues).

### Prerequisites

- [X] I'm using the latest version of Docusaurus.
- [X] I have tried the `npm run clear` or `yarn clear` command.
- [X] I have tried `rm -rf node_modules yarn.lock package-lock.json` and re-installing packages.
- [X] I have tried creating a repro with https://new.docusaurus.io.
- [X] I have read the console error message carefully (if applicable).

### Description

A fair few core packages have unsatisfied peer dependencies with a fresh project on `3.6.1`. This is most obvious with something like `yarn 3.5.0`, but also reproducable with `pnpm` and `auto-install-peers=false`.

Full set of warnings below.

### Reproducible demo

https://github.com/MorrisonCole/docusaurus-peer-dependencies-repro/

### Steps to reproduce

1. Run `npm init docusaurus@latest`
* (use any name)
* `classic`
* `TypeScript`
2. (make sure `yarn` is available with `corepack enable`
3. Run `yarn` from the new project. Depending on the version, different warnings will be printed at this time, but you can see all peer warnings with `yarn explain peer-requirements`.

### Expected behavior

No `YN0002` warnings / missing peers.

### Actual behavior

Fair few missing peers, e.g., with (`yarn set version 3.5.0`):

```
➤ YN0002: │ @docusaurus/bundler@npm:3.6.1 [fb9bc] doesn't provide react (p61e2d), requested by @docusaurus/types
➤ YN0002: │ @docusaurus/bundler@npm:3.6.1 [fb9bc] doesn't provide react-dom (p19f9f), requested by @docusaurus/types
➤ YN0002: │ @docusaurus/plugin-content-blog@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p7dbc9), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-content-docs@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p9f38b), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-content-pages@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p77e7e), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-debug@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p6f0af), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-google-analytics@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p9f6c6), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-google-gtag@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p7a09c), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-google-tag-manager@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p0011e), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/plugin-sitemap@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p93365), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/preset-classic@npm:3.6.1 [e1d64] doesn't provide @mdx-js/react (p45d1a), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/theme-search-algolia@npm:3.6.1 [38fed] doesn't provide @mdx-js/react (p4a912), requested by @docusaurus/core
➤ YN0002: │ @docusaurus/utils-common@npm:3.6.1 doesn't provide react (pc078f), requested by @docusaurus/types
➤ YN0002: │ @docusaurus/utils-common@npm:3.6.1 doesn't provide react-dom (p5bd66), requested by @docusaurus/types
➤ YN0002: │ @docusaurus/utils@npm:3.6.1 doesn't provide react (p8d75d), requested by @docusaurus/types
➤ YN0002: │ @docusaurus/utils@npm:3.6.1 doesn't provide react-dom (pb357f), requested by @docusaurus/types
```

### Your environment

- Public source code: https://github.com/MorrisonCole/docusaurus-peer-dependencies-repro/
- Public site URL: N/A
- Docusaurus version used: `3.6.1`
- Environment name and version (e.g. Chrome 89, Node.js 16.4): Chrome `130.0.6723.117`, Node `v20.10.0`
- Operating system and version (e.g. Ubuntu 20.04.2 LTS): macOS Sequoia 15.1

### Self-service

- [X] I'd be willing to fix this bug myself.