Implement Pager resumption even through into_pages

[heaths]

By design, we didn't support resuming Pager (ItemIterator) but, upon further discussion, decided we can but will resume from the current page until all items on the current page are processed.

This also fixes a problem that, because of the design, we didn't pass through resumption to the PageIterator at all - it couldn't even resume as a PageIterator for subsequent pages.

[heaths]

@LarryOsterman this does not yet include the changes to use the struct like in your PR, but will before I mark it ready. I finally got something working - there was a small but annoyingly difficult bug tail - so I wanted to get a draft up. If you want, the tests are worth validating since that is the behavior @RickWinter, @analogrelay, and we decided on internally. If I'm missing a case, please let me know.

[github-actions]

API Change Check

APIView identified API level changes in this PR and created the following API reviews

azure_core
azure_security_keyvault_certificates
azure_security_keyvault_keys
azure_security_keyvault_secrets
azure_storage_blob
azure_storage_queue

[heaths]

@jhendrixMSFT @antkmsft regardless of whether @LarryOsterman gets #3279 merged before we release core, we'll still need some emitter changes coinciding with the changes I made to generated code herein. It's all fairly benign.

@LarryOsterman do we want to keep the method_options: PagerOptions field name? I'm tempted to because at least that's consistent, and if we're diligent in keeping that as a superset of ClientMethodOptions it should be a fairly consistent DX sans having to type a different name for struct initialization.

[Copilot]

Pull Request Overview

This PR updates pager implementations across multiple Azure SDK crates to improve context handling and introduce resumable paging capabilities. The changes standardize how context is passed through pagers, change API option types for list operations, and add functionality to resume paging from a continuation token.

Key changes:

• Updated pager callbacks to accept a Context parameter directly instead of extracting it from options
• Changed method_options field types from ClientMethodOptions to PagerOptions for list operation options across Azure Storage (blob, queue), Key Vault (keys, secrets, certificates), and Cosmos services
• Added continuation_token() and with_continuation_token() methods to ItemIterator for resuming item-level pagination

Reviewed Changes

Copilot reviewed 10 out of 21 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
sdk/core/azure_core/src/http/pager.rs	Core pager implementation changes including new PagerOptions type, context parameter addition to callbacks, continuation token support for ItemIterator, improved state tracking, and extensive test additions
sdk/core/azure_core/src/http/poller.rs	Added AsRef<str> constraint to poller next link type parameter and debug logging for operation requests
sdk/core/azure_core/CHANGELOG.md	Documented new continuation token features and bug fixes
sdk/core/azure_core_test/src/recording.rs	Fixed module reference from typespec_client_core to azure_core
sdk/storage/azure_storage_queue/src/generated/models/method_options.rs	Changed method_options type from ClientMethodOptions to PagerOptions and added import
sdk/storage/azure_storage_queue/src/generated/clients/queue_service_client.rs	Updated callback signature to accept context parameter and pass options to pager
sdk/storage/azure_storage_queue/CHANGELOG.md	Documented breaking change
sdk/storage/azure_storage_blob/src/generated/models/method_options.rs	Changed method_options type from ClientMethodOptions to PagerOptions for three list operation option structs
sdk/storage/azure_storage_blob/src/generated/clients/*.rs	Updated callbacks to accept context parameter and pass options to pagers
sdk/storage/azure_storage_blob/CHANGELOG.md	Documented breaking changes for affected option structs
sdk/keyvault/azure_security_keyvault_secrets/src/generated/models/method_options.rs	Changed method_options type to PagerOptions and updated documentation from "method call" to "pager"
sdk/keyvault/azure_security_keyvault_secrets/src/generated/clients/secret_client.rs	Updated callbacks to accept context parameter and restructured callback indentation
sdk/keyvault/azure_security_keyvault_secrets/CHANGELOG.md	Documented breaking changes
sdk/keyvault/azure_security_keyvault_keys/*	Similar changes as secrets - updated types, callbacks, and documentation
sdk/keyvault/azure_security_keyvault_certificates/*	Similar changes as keys - updated types, callbacks, and documentation
sdk/cosmos/azure_data_cosmos/src/pipeline/mod.rs	Refactored to use PagerOptions and pass context to callback