Python: Update GitHub Copilot SDK to 1.0.11

[Dineshsuriya D (droideronline)]

Motivation & Context

The Python GitHub Copilot adapter is pinned to github-copilot-sdk==1.0.2, which prevents consumers from using the stable SDK's BYOK bearer token provider callback. SDK 1.0.11 adds ProviderConfig.bearer_token_provider and the async-capable BearerTokenProvider type.

The Copilot SDK changelog was reviewed for the releases between 1.0.2 and 1.0.11. The upgrade is additive for this adapter's existing usage, and the adapter already forwards its generic session options.

Description & Review Guide

• What are the major changes? Update the package dependency declaration and the corresponding uv.lock entry from 1.0.2 to 1.0.11.
• What is the impact of these changes? Consumers can provide rotating synchronous or asynchronous BYOK bearer tokens through the SDK provider configuration. Existing adapter behavior remains unchanged.
• What do you want reviewers to focus on? Confirm the lockfile metadata and that no runtime adapter changes are needed for the SDK's additive provider callback API.

Related Issue

Fixes #8001

Contribution Checklist

• The code builds clean without any errors or warnings
• All unit tests pass, and I have added new tests where possible
• The PR follows the Contribution Guidelines
• This PR is linked to an issue and there is no other open PR for this issue (see Related Issue above).
• This is not a breaking change.

[Copilot]

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[Evan Mattson (moonbox3)]

Dineshsuriya D (@droideronline) please have a look at the file conflict.

[Dineshsuriya D (droideronline)]

Eduard van Valkenburg (@eavanvalkenburg) Evan Mattson (@moonbox3) could you please take another look at this PR?

I resolved the main merge conflict and pushed the update in commit 81aee5340. I also isolated the compatibility Any used by the permission-handler boundary into a private _PermissionHandlerContext alias in commit 1e7178ae4, preserving support for both the legacy dictionary context and SDK 1.0.11 PermissionInvocation context without changing runtime behavior.

Validation is clean: formatting/lint, Pyright, mypy, ty, pyrefly, zuban, and the GitHub Copilot tests (183 passed, 6 deselected, 95% coverage).