router.refresh isn't working when intercepting routes

[freddyval7]

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: #22 SMP Tue Jan 10 18:39:00 UTC 2023
    Binaries:
      Node: 18.14.2
      npm: 9.5.0
      Yarn: 1.22.19
      pnpm: N/A
    Relevant packages:
      next: 13.4.4
      eslint-config-next: 13.4.4
      react: 18.2.0
      react-dom: 18.2.0
      typescript: 5.0.4

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

App directory (appDir: true)

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

https://codesandbox.io/p/sandbox/sleepy-violet-84j988?file=%2Fapp%2F%40modal%2F%28.%29login%2Fpage.tsx%3A8%2C32

To Reproduce

Click the "Refresh" button, it should refresh and show a new random number, but it doesn't

Describe the Bug

Is not refreshing when using intercepting routes feature

Expected Behavior

To refresh and get a new random number

Which browser are you using? (if relevant)

No response

How are you deploying your application? (if relevant)

No response

_NEXT-1845