Bug: typescript-eslint v7 config file fails tsc validation

[NotArpit]

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• I have tried restarting my IDE and the issue persists.
• I have updated to the latest version of the packages.
• I have searched for related issues and found none that matched my issue.
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Relevant Package

typescript-eslint

Playground Link

No response

Repro Code

/* eslint.config.js */
// @ts-check

import eslint from '@eslint/js';
import tseslint from 'typescript-eslint';

export default tseslint.config(
  eslint.configs.recommended,
  ...tseslint.configs.recommended,
);

ESLint Config

// @ts-check

import eslint from '@eslint/js';
import tseslint from 'typescript-eslint';

export default tseslint.config(
  eslint.configs.recommended,
  ...tseslint.configs.recommended,
);

tsconfig

{
  "compilerOptions": {
    "target": "ES2020",
    "module": "nodenext",
    "esModuleInterop": true,
    "forceConsistentCasingInFileNames": true,
    "strict": true,
    "skipLibCheck": true
  }
}

Expected Result

The import tseslint from 'typescript-eslint' line has no errors from the language-server. There is another bug (presumably related?) where ESLint complains about the use of import. Namely

Parsing error: The keyword 'import' is reserved eslint

Actual Result

The import tseslint from 'typescript-eslint' line errors from the language-server about Cannot find module 'typescript-eslint' or its corresponding type declarations.ts(2307). Removing the // @ts-check directive fixes this error however I don't believe this is the expected behaviour?

Additional Info

TSServer points to node_modules/typescript/lib.

Versions

package	version
typescript-eslint	^7.0.1
typescript	^5.3.3
eslint	^8.56.0
node	20.11.0
pnpm	8.15.2

[bradzacher]

Duplicate of #8459 and should be fixed by #8460