Update Inventory Management App to Ignite UI for Angular 22.1

[viktorkombov]

Description

Update the Inventory Management application to use Ignite UI for Angular 22.1 and the corresponding supported Angular version.

The application should be updated to follow the current Angular development patterns and showcase how Ignite UI for Angular works with modern Angular features, including:

• zoneless change detection
• strict mode
• signals, where applicable
• standalone components

Any deprecated APIs or outdated implementation patterns should also be updated as part of the migration.

GitHub Pages deployment

As part of the migration, update the GitHub Pages deployment so that the upgraded application is published automatically and does not rely on committed build output.

• Validate the application build on pull requests.
• Build and deploy to GitHub Pages after merge to the default branch.
• Support workflow_dispatch for manual redeployment.
• Use the correct /TaskPlanner/ base href.
• Verify that the public application works after deployment.
• Stop committing generated docs/ output once the workflow is enabled.