Automerge: [Github][Bazel] Add Workflow to Run Bazel Build (#165071)

This patch adds a job to the bazel checks workflow to run the bazel
build/test. This patch only tests a couple projects just to get things
going. The plan is to expand to more projects eventually and setup a GCS
bucket for caching so jobs complete quickly by using cached artifacts.

This should add minimal load to the CI given the low frequency of bazel
PRs, and especially when we enable GCS based caching due to bazel's
effective use of caching. Google is also sponsoring the Linux Premerge
CI and is interested in having premerge bazel builds which is why it
makes sense to do premerge testing of this alternative build system
using those resources.

Author: boomanaiden154