Migrate and roll out CloudConnector::Tokens for all features
# Summary In order to complete https://gitlab.com/groups/gitlab-org/-/epics/17999+, we must refactor all code paths that either directly or indirectly use `AvailableServices#access_token`, which is to be removed. Primarily this currently happens when client code constructs AI gateway headers. There are about 10 code paths still that construct service headers this way, which includes injecting a Cloud Connector access token. We will migrate these over one by one via feature flags, so as to reduce risk and selectively enter the new `CloudConnector::Tokens` factory code path.
epic