Part of:
- https://github.com/flutter/flutter/issues/128251

Currently, when we want to use the analytics instance from `package:unified_analytics`, we are just grabbing it from globals. However, with the legacy analytics instance, there are some things we check to return a no-op version of the instance.. for example, if we are running on bots or a non standard branch, we use a no-op instance

This PR uses the same previous checks for the new analytics instance