duplicate `Put` code for inserting aggr_table

**Describe the feature you'd like**

Now `aggregator` uses the `Table::Put` API to put the data, and manually calls the `replicator` APIs to write to the log. Duplicate logics with the `Tablet::Put`.

We have to extract a common function to achieve the same objective.

Look at the aggregator's use of Table::Put and replicator APIs, and compare with Tablet::Put in the codebase. Identify common logic for inserting into aggr_table and writing to the log. Focus on extracting a shared function to eliminate duplication. Check existing tests for Put operations to ensure refactoring doesn't break functionality.

Scritto dal modello di indicizzazione a partire dal testo della issue.