Update LiveObjects examples to use the new Path-based API

[VeskeR]

Description

Uses Path-based API from https://github.com/ably/ably-js/releases/tag/2.16.0

Checklist

• Commits have been rebased.
• Linting has been run against the changed file(s).
• The PR adheres to the writing style guide and contribution guide.

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✨ Finishing touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch liveobjects/update-examples-to-path-api

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[mschristensen]

Ok, this works when running the examples directly, but there appears to be an issue with running the map example in sandpack. I created a ticket with what I have found: https://ably.atlassian.net/browse/AIT-230

This needs to be fixed before this is merged. cc @VeskeR

[mschristensen]

See #3046 (comment)