Release pipeline: Build all artifacts first, and only publish images+package on success

[varungandhi-src]

Right now, we can end up in a state where we publish a package to npm but there is no matching Docker image because the image failed to build.

[varungandhi-src]

Right now, the Docker images rely on the package being available and then installing that, instead of building the package locally. We can instead use npm pack. yarn add seems like it used to support installing from a tarball. https://classic.yarnpkg.com/lang/en/docs/cli/add/ However, the new Yarn version doesn't mention that a local filepath is supported. https://yarnpkg.com/cli/add 😮‍💨

[kritzcreek]

Related to #389