[stable2512] Backport #10666

[paritytech-release-backport-bot]

Backport #10666 into stable2512 from sigurpol.

NOTE: PR #1739 (ownership proof validation) has not been backported to stable2512.

While backporting #10666 - which fully integrates with proof of ownership - we need to make few changes:

• remove proof parameter from extrinsic and Config trait
• remove proof validation tests
• fix session keys generation and related tests and benchmarking
• update papi-test to remove proof from set_keys API call

We also remove poll_operations module and related cleanup from ahm-test since APIs like NextPollWeight, PagedElectionOutOfWeight etc are not in stable2512.

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[paritytech-release-backport-bot]

Please cherry-pick the changes locally and resolve any conflicts.

git fetch origin backport-10666-to-stable2512
git worktree add --checkout .worktree/backport-10666-to-stable2512 backport-10666-to-stable2512
cd .worktree/backport-10666-to-stable2512
git reset --hard HEAD^
git cherry-pick -x f154a3464ff17a7c3239b02f41230a0c3f3f90da
git push --force-with-lease

[sigurpol]

/cmd bench --pallet pallet_staking_async_rc_client --runtime asset-hub-westend

[github-actions]

This pull request is amending an existing release. Please proceed with extreme caution,
as to not impact downstream teams that rely on the stability of it. Some things to consider:

• Backports are only for 'patch' or 'minor' changes. No 'major' or other breaking change.
• Should be a legit fix for some bug, not adding tons of new features.
• Must either be already audited or not need an audit.

Emergency Bypass

If you really need to bypass this check: add validate: false to each crate
in the Prdoc where a breaking change is introduced. This will release a new major
version of that crate and all its reverse dependencies and basically break the release.

[paritytech-workflow-stopper]

All GitHub workflows were cancelled due to failure one of the required jobs.
Failed workflow url: https://github.com/paritytech/polkadot-sdk/actions/runs/21393969154
Failed job name: check-runtime-migration

[github-actions]

This pull request is amending an existing release. Please proceed with extreme caution,
as to not impact downstream teams that rely on the stability of it. Some things to consider:

• Backports are only for 'patch' or 'minor' changes. No 'major' or other breaking change.
• Should be a legit fix for some bug, not adding tons of new features.
• Must either be already audited or not need an audit.

Emergency Bypass

If you really need to bypass this check: add validate: false to each crate
in the Prdoc where a breaking change is introduced. This will release a new major
version of that crate and all its reverse dependencies and basically break the release.