Hello @zach.berk and welcome to the forum!
When configuring the Push To Github action, did you set the mode to Loader or Codegen?
The article you linked is for the Loader use case, where no Plasmic-generated code is checked into your git repo. So if that’s the mode you selected, then the Push To Github action will only create a new repo for you which is not updated on subsequent publishes.
The repo is only updated if the mode is Codegen. Read more about it in the Github actions doc here.
For automation and deployments in the loader use case, you can setup webhooks to trigger re-deploys. Read more about it in the Automation and deployment docs