feat(ktoaster): refactor toastmanager [KHCP-11958]

[portikM]

Summary

Refactors ToastManager to not mount separate Vue app

PR Checklist

• [ ] Conventional Commits all commits follow the conventional commit standards outlined in the main README.
• [ ] Tests coverage: test coverage was added for new features and bug fixes
• [ ] Docs: includes a technically accurate README

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[kongponents-bot]

:tada: This PR is included in version 9.0.0-alpha.174 :tada:

The release is available on:

• npm package (@alpha dist-tag)
• GitHub release

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