ORT 1.23.0 cherry-pick prs 25592 - 25831 (#25805)
### Description
Cherry-pick the following PRs into the `rel-1.23.0` branch:
- https://github.com/microsoft/onnxruntime/pull/25592
- https://github.com/microsoft/onnxruntime/pull/25622
- https://github.com/microsoft/onnxruntime/pull/25688
- https://github.com/microsoft/onnxruntime/pull/25729
- https://github.com/microsoft/onnxruntime/pull/25743
- https://github.com/microsoft/onnxruntime/pull/25769
- https://github.com/microsoft/onnxruntime/pull/25745
- https://github.com/microsoft/onnxruntime/pull/25761
- https://github.com/microsoft/onnxruntime/pull/25751
- https://github.com/microsoft/onnxruntime/pull/25716
- https://github.com/microsoft/onnxruntime/pull/25228
- https://github.com/microsoft/onnxruntime/pull/25768
- https://github.com/microsoft/onnxruntime/pull/25788
- https://github.com/microsoft/onnxruntime/pull/25747
- https://github.com/microsoft/onnxruntime/pull/25800
- https://github.com/microsoft/onnxruntime/pull/25818
- https://github.com/microsoft/onnxruntime/pull/25762
- https://github.com/microsoft/onnxruntime/pull/25749
- https://github.com/microsoft/onnxruntime/pull/25831
### Motivation and Context
<!-- - Why is this change required? What problem does it solve?
- If it fixes an open issue, please link to the issue here. -->
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