A total redesign for easier configuration of type-aware rules

[haoqunjiang]

Notable changes:

1. By default only <script lang="ts">/<script setup lang="ts"> are allowed in .vue files. This eliminates the subtle different treatments between ts blocks in .vue and .ts, avoids confusion, and aligns better with https://github.com/vuejs/eslint-config-airbnb/tree/main/packages/eslint-config-airbnb-with-typescript#readme and https://github.com/vuejs/eslint-config-standard/tree/main/packages/eslint-config-standard-with-typescript#readme
2. The default entry is now recommended
3. Added configurations for type-aware rules so that users don't have to deal with the complicated configurations by themselves.
4. Added an experimental strict config, making use of https://github.com/ota-meshi/typescript-eslint-parser-for-extra-files

[IGx89]

Looking forward to this! Still being worked on?

[haoqunjiang]

This PR is too big a breaking change and has taken too much time 🥲

Considering there are 2 other important breaking changes that need to land in this project in the near future: the ESLint Flat Config support and typescript-eslint v6, I think I might have to do a redesign again - if I can't finish this PR in the next month.

The general idea remains, though: it's recommended to use only <script lang="ts">/<script setup lang="ts"> in a TypeScript project.

[haoqunjiang]

Closing as most goals in this PR have been achieved alongside the adoption of Flat Config in v14.
Except that I still need to look deeper into https://github.com/ota-meshi/typescript-eslint-parser-for-extra-files integration later.