Command `next lint` does not generate `.eslintrc.json` on App Router

[devjiwonchoi]

Link to the code that reproduces this issue or a replay of the bug

CodeSandBox Reproduction

To Reproduce

1. Run pnpm next lint
2. Choose <Strict | Base> option from the suggestions
3. Run pnpm next lint again

Current vs. Expected behavior

Current

It does not generate .eslintrc.json, DX as to endlessly repeat "next lint".

Expected

Generate the proper .eslintrc.json.

Verify canary release

• I verified that the issue exists in the latest Next.js canary release

Provide environment information

Operating System:
  Platform: linux
  Arch: x64
  Version: #1 SMP PREEMPT_DYNAMIC Sun Aug  6 20:05:33 UTC 2023
Binaries:
  Node: 16.17.0
  npm: 8.15.0
  Yarn: 1.22.19
  pnpm: 7.1.0
Relevant Packages:
  next: 13.4.20-canary.19
  eslint-config-next: 13.4.20-canary.19
  react: 18.2.0
  react-dom: 18.2.0
  typescript: 5.2.2
Next.js Config:
  output: N/A

Which area(s) are affected? (Select all that apply)

CLI (create-next-app), ESLint (eslint-config-next)

Additional context

This issue extends #55094

[github-actions]

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