[Medium] Test service for Offline Sync & CRDTs

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Implementation issue mapping to the Offline Sync & CRDTs epic for the Notebook repository.

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Friendly reminder for SSoC26 contributors: When you submit a Pull Request for this issue, please remember to also raise a dummy PR in the Memact/Context repository that references your original PR. This is required for your contribution to be considered for points on the SSoC leaderboard!