Migrate ha-paper-dialog to ha-dialog in system options dialog

[joshmcrty]

Proposed change

This replaces the use of ha-paper-dialog with ha-dialog for the System Options dialog on the Integrations page. It also adds a public closeDialogmethod per #6138

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New feature (thank you!)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Example configuration

Add an integration via the UI, then on the Integrations page, click the three dots menu for the integration and select "System options" to view the new dialog.

Additional information

• This PR fixes or closes issue: fixes #
• This PR is related to issue: Move all paper-dialogs to ha-dialogs #6138
• Link to documentation pull request:

Checklist

• The code change is tested and works locally.
• There is no commented out code in this PR.
• Tests have been added to verify that the new code works.

If user exposed functionality or configuration variables are added/changed:

• Documentation added/updated for www.home-assistant.io