Deploy to Maven Packages via GitHub Actions

So, I have a GitHub Repository with compiled Maven projects. I setup a GitHub Actions to deploy them to GitHub Packages. This is my current release-package.yml:

name: Maven Package

on: push

jobs:
  publish-gpr:
    runs-on: ubuntu-latest
    permissions:
      contents: read
      packages: write
    steps:
      - uses: actions/checkout@v3
      - uses: actions/setup-python@v4
        with:
          python-version: '3.10'
      - uses: actions/setup.java@v3
        with:
          java-version: '11'
          distribution: 'adopt'
          server-id: github
          server-username: ...
          server-password: ...
      - name: Publish Package
        run: |
          chmod +x ./deploy.sh
          ./deploy.sh          
        shell: bash

As one can see, 'server-username' and 'server-password' are still blank, which is my main problem. I read here: https://docs.github.com/en/actions/publishing-packages/publishing-java-packages-with-maven that I have to add this but I don't know what username and password to use except my own. But I want to avoid that.
The deploy.sh has the following content:

#!/bin/bash

OWNER=...
REPOSITORY=...

filelist=$(find . -type f -path "*.pom")
for file in $filelist
do
	data=$(python getdata.py $file)
	groupId=$(echo $data | cut -d' ' -f1)
	artifactId=$(echo $data | cut -d' ' -f2)
	version=$(echo $data | cut -d' ' -f3)

	mvn deploy:deploy-file -DgroupId=$groupId -DartifactId=$artifactId -Dversion=$version -Dfile=$file -Durl=https://maven.pkg.github.com/$OWNER/$REPOSITORY
done

In this case 'OWNER' and 'REPOSITORY' are purposely empty.

I already tried to use Actions secrets or Deploy keys but I don't really understand them and the documentation is not really explaining anything. When I tried these solution it failed with an 401 Unauthorized error code.

The question is which credentials do I have to use? The documentation confuses me and I don't know if my approach is optimal. It would be really nice if someone could help me. Thanks in advance!

UPDATE

New workflow I tried:

name: Maven Package

on: push

jobs:
  publish-gpr:
    runs-on: ubuntu-latest
    permissions:
      contents: read
      deployments: write
      packages: write
    steps:
      - uses: actions/checkout@v3
      - uses: actions/setup-python@v4
        with:
          python-version: '3.10'
      - uses: actions/setup-java@v3
        with:
          java-version: '11'
          distribution: 'adopt'
      - name: Publish Package
        run: |
          chmod +x ./deploy.sh
          ./deploy.sh          
        shell: bash
        env:
          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}

And this is the error I always get:

Failed to execute goal org.apache.maven.plugins:maven-deploy-plugin:2.7:deploy-file (default-cli) on project standalone-pom: Failed to deploy artifacts: Could not transfer artifact <artifact> from/to remote-repository (https://maven.pkg.github.com/<repo-path>): authentication failed for https://maven.pkg.github.com/<repo-path>/<path-to-jar>, status: 401 Unauthorized -> [Help 1]

The correct term is "publish" here, not "deploy".

actions/setup.java should be actions/setup-java i.e. replace . with -.

You need to follow Publishing packages to GitHub Packages.

Regarding server-username and server-password, you don't have to configure these for GitHub Packages as they already have the correct defaults i.e. GITHUB_ACTOR and GITHUB_TOKEN respectively, see Maven options.

Refer to the github context to configure OWNER and REPOSITORY values.