build(deps): Bump sentry-sdk to 2.5.1

[sentrivana]

Purpose/Motivation

We've been seeing some disconnected spans in https://github.com/getsentry/sentry-python/issues/3169. Since there's a new major version of the SDK that includes significant changes, we first want to check whether the issue still exists in this new major version.

Links to relevant tickets

• https://github.com/getsentry/sentry-python/issues/3169

What does this PR do?

• Bumps sentry-sdk to 2.5.1.
• Migrates 1.x SDK API to 2.x. (See also migration guide.)
• Removes some unused imports found along the way.

Notes to Reviewer