Microsoft.Extensions.AI backports for release/10.3

Merged PR 56482: Set Microsoft.McpServer.ProjectTemplates version to …

…align with MCP packages

Backports #7170 into the release branch as it was merged into main after the snap.

This will effectively prevent the 10.2 release from publishing the package since it hard codes the version to a version that has already been published, but it gets the release branch aligned with the release/10.1 branch that has this change as well.

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#### AI description  (iteration 1)
#### PR Classification
This pull request is a configuration update that aligns the project's version metadata with MCP packages.

#### PR Summary
The update adds explicit version properties to ensure consistency with ModelContextProtocol package versions.
- `src/ProjectTemplates/Microsoft.McpServer.ProjectTemplates/Microsoft.McpServer.ProjectTemplates.csproj`: Added `<MajorVersion>0</MajorVersion>`, `<MinorVersion>5</MinorVersion>`, `<PatchVersion>0</PatchVersion>`, and `<PreReleaseVersionLabel>preview</PreReleaseVersionLabel>`.
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Merged PR 55833: Preapre for 10.1 release

Preapre for 10.1 release

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#### AI description  (iteration 1)
#### PR Classification
This pull request prepares the project for the 10.1 release by updating dependency versions and build configurations for a stable shipping build.

#### PR Summary
The changes update package versions and streamline build pipelines to ensure a stable, release-ready output:
- **`eng/Versions.props`**: Bumped dependency versions from 10.0.0 to 10.0.1 and enabled release stabilization by setting `<StabilizePackageVersion>` to true and `<DotNetFinalVersionKind>` to release.
- **`azure-pipelines.yml`**: Removed the code coverage stage and updated dependency triggers to simplify the CI pipeline.
- **`NuGet.config`**: Removed the package source mapping section and added a new internal package source reference.
- **`eng/pipelines/templates/BuildAndTest.yml` & `Directory.Build.props`**: Added tasks to set up private feed credentials and disabled NU1507 warnings to support internal feeds.
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Merged PR 55054: When using latest .NET packages, force System.Numeri…

…cs.Tensors to 10.0 (for MEAI) (#7031)

Merged PR 54282: Backport another commit to 9.10

Clean cherry-pick

Merged PR 53032: Backport two more commits to 9.9

Clean cherry-picks from main

[release/9.8] Add middleware for reducing chat history (#6713)

* Move ReducingChatClient into library code

* Add unit tests

* Remove unnecessary tests

* Allow resolving from DI + add configure callback

* Prototype for summarizing reducer

* Custom prompts + integration tests

* Update Microsoft.Extensions.AI.Integration.Tests.csproj

* Add message counting chat reducer

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Co-authored-by: Mackinnon Buck <mackinnon.buck@gmail.com>

Target .NET 8 for more stable runtime requirement (#6617)

* Target .NET 8 for more stable runtime requirement

* Address comment

Branding updates for 9.7.1 (#6611)

* Branding updates for 9.7.1

* Fix tests by emitting the right versions of the templates

Merged PR 51340: Two more commits backported to 9.7

Clean cherry-picks