Github Action with Cloning-with-https-urls Build Failure

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### What Happened?

When i run my Github Action by manually push to repo, the log is bellow
(In the past, it worked normally. I didn't modify any github action files after init)
Manual update to version 0.3.1 after error occurred, but the situation did not improve。


## Error Message
```
[+] Pushing git commit
remote: Support for password authentication was removed on August 13, 2021.
remote: Please see https://docs.github.com/get-started/getting-started-with-git/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.
fatal: Authentication failed for 'https://github.com/jackyliu16/notes.git/'
```

## Overall Profile
```
# This is a basic workflow to help you get started with Actions

name: CI

# Controls when the workflow will run
on:
push:
branches: [master]

# Allows you to run this workflow manually from the Actions tab
workflow_dispatch:

# A workflow run is made up of one or more jobs that can run sequentially or in parallel
jobs:
# This workflow contains a single job called "build"
build:
# The type of runner that the job will run on
runs-on: ubuntu-latest

# Steps represent a sequence of tasks that will be executed as part of the job
steps:
# Checks-out your repository under $GITHUB_WORKSPACE, so your job can access it
- uses: actions/checkout@v3
- uses: logseq/publish-spa@v0.3.1
with:
output-directory: www
- name: Add a nojekyll file # to make sure asset paths are correctly identified
run: touch $GITHUB_WORKSPACE/www/.nojekyll
# - name: Deploy 🚀
# uses: JamesIves/github-pages-deploy-action@v4
# with:
# folder: www
- name: Push to publish repos and use github pages display
uses: jackyliu16/github-action-push-to-another-repository@main
env:
API_TOKEN_GITHUB: ${{ secrets.API_TOKEN_GITHUB }}
with:
source-directory: 'www'
destination-github-username: 'jackyliu16'
destination-repository-name: 'notes'
user-email: '18922251299@163.com'
target-branch: master
#
# git config --global user.name "jackyliu16"
# git config --global user.email "18922251299@163.com"
# git add .
# git commit -m "Auto-Deploy from logseq"
# git push https://${{ secrets.GH_TOKEN }}@github.com/jackyliu16/jackyliu16.github.io.git gh-pages
```

### Reproduce the Bug

Just push to repo.

### Expected Behavior

All CI success and update github page correctlly.

### Desktop or Mobile Platform Information

OS Version: Win11 23H2 22631.4169
Desktop Version: 0.10.9-alpha+nightly.20240528

Start with the workflow configuration shown in the issue, especially the push-to-another-repository action and its API_TOKEN_GITHUB secret. Reproduce the failed push and trace the authentication configuration; done means the workflow completes successfully and updates the destination repository and GitHub Pages content.

Written by the indexing model from the issue text.