typedRoutes does not work while running on the dev server

[Karibash]

Verify canary release

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

Provide environment information

Operating System:
      Platform: darwin
      Arch: x64
      Version: Darwin Kernel Version 22.5.0: Thu Jun  8 22:22:22 PDT 2023; root:xnu-8796.121.3~7/RELEASE_X86_64
    Binaries:
      Node: 18.17.1
      npm: 9.6.7
      Yarn: N/A
      pnpm: 8.6.12
    Relevant Packages:
      next: 13.4.16
      eslint-config-next: 13.4.16
      react: 18.2.0
      react-dom: 18.2.0
      typescript: 5.1.6
    Next.js Config:
      output: N/A

Which area(s) of Next.js are affected? (leave empty if unsure)

Routing (next/router, next/navigation, next/link)

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

I will prepare it later.

To Reproduce

Start the development server with typedRoutes enabled.

Describe the Bug

Due to the following PR, devPageFiles are no longer being updated, so link type definition files are not being generated properly while running the development server.
https://github.com/vercel/next.js/pull/52492/files#diff-2f6fd5a9538abfaf3d5b76a82a8d1ffa029f84a36f0cdae5460520c5cfc2db6bL84

Currently devPageFiles is not updated from anywhere.
https://github.com/search?q=repo%3Avercel%2Fnext.js%20devPageFiles&type=code

Expected Behavior

A link type definition file is generated while the development server is running.

Which browser are you using? (if relevant)

No response

How are you deploying your application? (if relevant)

No response

_NEXT-1531

[github-actions]

This closed issue has been automatically locked because it had no new activity for 2 weeks. If you are running into a similar issue, please create a new issue with the steps to reproduce. Thank you.