calling `redirect()` inside a server component causes flashing UI

Link to the code that reproduces this issue

https://github.com/Fredkiss3/bug-next-redirect-flashing-ui

To Reproduce

1. click on the link
2. you will see a blank page while the page is being redirected

Current vs. Expected behavior

You can see in the video below that for server actions it works as expected, the page don't flash while being redirected (this is the desired behavior), while for link it doesn't :

https://github.com/vercel/next.js/assets/38298743/415037db-31a9-4cde-9b13-4f7c6eb99c3a

Verify canary release

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

Provide environment information

Operating System:
  Platform: darwin
  Arch: arm64
  Version: Darwin Kernel Version 23.0.0: Fri Sep 15 14:43:05 PDT 2023; root:xnu-10002.1.13~1/RELEASE_ARM64_T6020
Binaries:
  Node: 18.17.1
  npm: 9.6.7
  Yarn: N/A
  pnpm: N/A
Relevant Packages:
  next: 13.5.5
  eslint-config-next: 13.4.6
  react: 18.2.0
  react-dom: 18.2.0
  typescript: 4.9.5
Next.js Config:
  output: N/A

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

App Router

Additional context

No response

Start by running the linked reproduction repository and follow the App Router steps for navigation through a link and through a server action. Compare the two redirect paths in the latest canary; the work is done when link-triggered redirects no longer show a blank or flashing page, matching the server-action behavior.