LUCENE-9951: Add InfoStream to ReplicationService

[ChristophKaser]

An InfoStream is added to the ReplicationService (similar to the ReplicationClient) to allow debugging replication issues

Description

Adds InfoStream to ReplicationService to facilitate debugging

#10990

Solution

Tests

Checklist

Please review the following and check all that apply:

• [x] I have reviewed the guidelines for How to Contribute and my code conforms to the standards described there to the best of my ability.
• [x] I have created a Jira issue and added the issue ID to my pull request title.
• [x] I have given Lucene maintainers access to contribute to my PR branch. (optional but recommended)
• [x] I have developed this patch against the main branch.
• [x] I have run ./gradlew check.
• [ ] I have added tests for my changes.