Add `settings.yaml` file to manage repository settings

[jonathan-innis]

Description

Tell us about your request

Rather than managing our repo settings through imperative calls to the GH API, we should manage our repository settings through a settings.yaml file coupled with the Protobot Settings App

Tell us about the problem you're trying to solve. What are you trying to do, and why is it hard?

N/A

Are you currently working around this issue?

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[jonathan-innis]

This is a "transferred" version of the issue in kubernetes-sigs/karpenter: kubernetes-sigs/karpenter#713