Update azure_core requirement from 0.30 to 0.31 in /azure_devops_rust_api

[dependabot]

Updates the requirements on azure_core to permit the latest version.

Release notes

Sourced from azure_core's releases.

azure_core@0.31.0

0.31.0 (2026-01-16)

Features Added

• Added Body::take().
• Added continuation_token to PagerOptions.
• Added extensible request authorization and authentication challenge handling to BearerTokenAuthorizationPolicy.
  • OnRequest, OnChallenge, and Authorizer traits define callbacks for these features.
  • with_on_request() and with_on_challenge() builder methods set callbacks for a policy instance.
• Added Request::body_mut().
• Added UrlExt::set_query_pair() to simplify overwriting query parameter key values.
• Sort query parameters lexicographically in QueryBuilder.

Breaking Changes

• Added type parameter C to Pager declaration, defaulting to Url so it can be elided in most existing declarations.
• Changed Pager::from_callback to take a PagerOptions as the second parameter rather than a Context parameter.
• Changed Pager::from_callback to Pager::new which now requires the caller to return a Pin<Box<dyn Future>>.
• Changed Poller::from_callback to Poller::new which now requires the caller to return a Pin<Box<dyn Future>>.
• Changed PollerResult::next field to PollerResult::continuation_token.
• Changed PollerState generic parameter from N to C.
• Moved BearerTokenAuthorizationPolicy into azure_core::http::policies::auth.
• Removed ItemIterator::with_continuation_token(). Pass a continuation token to PagerOptions::continuation_token instead.
• Removed PageIterator::with_continuation_token(). Pass a continuation token to PagerOptions::continuation_token instead.
• Removed Pager::from_stream.
• Removed Poller::from_stream.
• Renamed BoxedFuture to PagerResultFuture in pager module.

Commits

• d7f3d72 Update emitter to 0.33.0 and release azure_core@0.31.0 (#3559)
• 39ef2f4 Sync eng/common directory with azure-sdk-tools for PR 13561 (#3555)
• 7e59d8e Remove C type parameter from Poller (#3557)
• 058db66 Sync eng/common directory with azure-sdk-tools for PR 13563 (#3547)
• 201bfee Also report live test results to test tab (#3550)
• 047c072 [Storage] Archboard Feedback & Improving docstring samples to match Rust docs...
• dcc7a40 Force tokio runtime for AMQP when using fe2o3 (#3538)
• 3a8face Sync eng/common directory with azure-sdk-tools for PR 13560 (#3539)
• 5b6a6f5 Sync eng/common directory with azure-sdk-tools for PR 13556 (#3533)
• 0c59d08 Cosmos: Derive SafeDebug instead of Debug in model types (#3531)
• Additional commits viewable in compare view

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