Update services to use the sentry sink

Created by: jhchabran

This patches all services that were using the HTTP middleware to capture sentry errors to now use the sentry sink.

Fixes #35845 (closed)

Test plan

Tested a few errors locally with a "dev" DSN: https://sentry.io/organizations/sourcegraph/issues/3322589787/?project=1243424&query=is%3Aunresolved+%21url%3A%2Fgo%2A+%21message%3A%22cannot+find+package+%5C%22.%5C%22%22+%21message%3A%22non-github+clone+URL%22++%21message%3A%22%5C%2Atrace.httpErr%22