Authentication failed with proxy

[Ardear]

I set up the proxy "https://ghp.ci/" to my runner machine, but I got an error:

Error: fatal: Authentication failed for 'https://ghp.ci/https://github.com/xxx/xxx/'

The code in workflow is:

    steps:
      - name: Checkout
        uses: actions/checkout@v4

After that, I tried to authenticate the identity using a custom PAT, I added the secret and changed the code to:

    steps:
      - name: Checkout
        uses: actions/checkout@v4
        with:
          token: ${{ secrets.PAT }}

I still get the same error.
But if I try to run command locally and enter the PAT as password, it runs successfully:

git clone https://ghp.ci/https://github.com/xxx/xxx/
Username for 'https://ghp.ci':xxx
Password for 'https://[email protected]':
remote: Enumerating objects: 317, done.
remote: Counting objects: 100% (96/96), done.
remote: Compressing objects: 100% (60/60), done.
remote: Total 317 (delta 38), reused 46 (delta 27), pack-reused 221 (from 1)
Receiving objects: 100% (317/317), 143.40 KiB | 315.00 KiB/s, done.
Resolving deltas: 100% (144/144), done.

[Ardear]

I found out that this was due to the PAT I had configured on the runner .gitconfig is out of date.

I think token should be set in checkout, not in .gitconfig, because workflows have different permissions. So I try to clean up the PAT in .gitconfig, after that the config in .gitconfig become url https://ghp.ci/https://github.com/(Before that it is url https://user:[email protected]/https://github.com/ ).
But checkout fails by error:

Error: fatal: could not read Username for 'https://ghp.ci/': terminal prompts disabled

Is there any way I can set up a proxy on the runner and use checkout for authentication at the same time?