[WIP] Fix conflicts in package dependencies

[Copilot]

Plan to Fix Package Conflicts in quiz-app

• Understand the current package.json and identify conflicts
• Run npm audit to identify vulnerabilities
• Apply npm audit fix to resolve non-breaking security issues
• Update @vue/cli-plugin-babel, @vue/cli-plugin-eslint, and @vue/cli-service to latest compatible versions
• Resolve ESLint peer dependency conflicts (currently using ESLint 9 but Vue CLI plugins expect ESLint 7-8)
• Test the application builds successfully
• Verify the application runs without errors
• Update package-lock.json with resolved dependencies

Original prompt

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This section details on the original issue you should resolve

<issue_title>Fix conflicts in package</issue_title>
<issue_description>Fix the conflicts in the following Bump postcss, @vue/cli-plugin-babel, @vue/cli-plugin-eslint and @vue/cli-service in /quiz-app #683 </issue_description>

Comments on the Issue (you are @copilot in this section)

• Fixes Fix conflicts in package #904

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