Tool to compare public API surface with Lucene

### Is there an existing issue for this?

- [X] I have searched the existing issues

### Task description

We should create a tool that compares the public API surface of Lucene (at a specified version) to Lucene.NET. See https://github.com/apache/lucenenet/pull/1018#discussion_r1842137526 for context.

ChatGPT suggested comparing the metadata generated by Docfx and javadoc. Another alternative might be creating a Java tool to export JSON or XML of the public API surface via reflection, and then create a .NET tool that compares that via .NET reflection to Lucene.NET's assemblies.

This will require mapping Java naming conventions to .NET, amongst other challenges. We'd likely need the ability to create a manual mapping/exclusions file to handle discrepancies. But this will help us confirm the public API of Lucene.NET matches Lucene, as well as aid future porting efforts.