chore: sync main (v9.6.2) into beta

[github-actions]

Automated sync of main back into beta after release v9.6.2, including beta version set to 9.6.3-beta.1.

Summary by Sourcery

Sync beta branch metadata with main for post-9.6.2 release alignment.

Enhancements:

• Update Unity package, server, and extension manifest versions to align with release 9.6.2 and beta 9.6.3-beta.1.

Documentation:

• Adjust server README example to reference the latest 9.6.2 tagged release.

[sourcery-ai]

Reviewer's guide (collapsed on small PRs)

Reviewer's Guide

Syncs the main branch release v9.6.2 back into beta by bumping the Unity package beta version and aligning server/client manifest versions and docs with v9.6.2.

File-Level Changes

Change	Details	Files
Bumped the Unity MCP package beta version to reflect the new 9.6.3-beta.1 pre-release.	Updated the npm-style package version field to 9.6.3-beta.1 for the Unity MCP package	MCPForUnity/package.json
Aligned server and extension versions and documentation with the v9.6.2 release.	Updated the uvx install example to reference git tag v9.6.2 for the server subdirectory Bumped the Python server package version to 9.6.2 Updated the extension manifest version to 9.6.2	Server/README.md Server/pyproject.toml manifest.json

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[sourcery-ai]

Hey - I've reviewed your changes and they look great!

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