build(release): Bump client to 2.51.1

[scottn12]

Bumps release branch client packages to 2.51.1

[Copilot]

Pull Request Overview

This PR performs a patch version bump for client packages from 2.51.0 to 2.51.1 as part of the release process for the Fluid Framework.

• Updates all package.json files to version 2.51.1
• Updates corresponding packageVersion.ts files to maintain version consistency
• Includes one minor cleanup in experimental/dds/tree/package.json removing an empty line

Reviewed Changes

Copilot reviewed 197 out of 197 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
package.json (root)	Root package version bump to 2.51.1
packages/*/package.json	Version bumps for all production packages
packages/*/src/packageVersion.ts	Corresponding version constant updates
tools/*/package.json	Tool package version updates
examples/*/package.json	Example package version updates
experimental/*/package.json	Experimental package version updates
azure/*/package.json	Azure-related package version updates

[github-actions]

Warning

WARNING: This PR is targeting a release branch!

All changes must first be merged into main and then backported to the target release branch.
Please include a link to the main PR in the description of this PR.

Changes to release branches require approval from the Patch Triage group before merging.
You should have already discussed this change with them so they know to expect it.

For more details, see our internal documentation for the patch policy and processes for
patch releases.

[frankmueller-msft]

Looks good