[plugin-ep-webgpu/rel-0.1] 0.1.0 cherry-picks, round 2 (#28403)
### Description
<!-- Describe your changes. -->
This cherry-picks the following commits for the release:
| Commit ID | PR Number | Commit Title |
|-----------|-----------|-------------|
| 0a341b0962 | #28384 | [WebGPU plugin EP packaging] Remove explicit ORT
package dependency |
Additionally, it integrates the WebGPU plugin EP-specific part of PR
#28418.
### 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. -->
Integrate changes into release branch.