Remembering what we've already done

### Is your feature request related to a problem?

Several of our actions run into the problem of working through the first X number of repos in an organization when they fail due to rate limiting or max action run times. If they could save state or remember what repos have been evaluated recently, that would be helpful for delivering more value for each action. This happens especially for OSPOs that are working on the "get clean" phase of any task rather than the "stay clean". ie. Every repo in an org of 10k repos needs a dependabot PR opened. (evergreen)

### Related OSPO Tool

automatic-contrib-prs GitHub Action, cleanowners GitHub Action, evergreen GitHub Action, issues-metrics GitHub Action, stale-repos GitHub Action

### Describe the solution you'd like

Ideas:
- A dump/file saved of repos processed and then an upload for the next run.
- Separate out the scan all repos/get repo list from the action that should be taken into separate actions
- database something something hand wave

### Describe alternatives you've considered

_No response_

### Additional context

_No response_

Start by reviewing the automatic-contrib-prs, cleanowners, evergreen, issues-metrics, and stale-repos GitHub Actions named in the issue. Compare the proposed state file, split-action, and database approaches, then define how processed repositories persist between runs and how a later run resumes work across a large organization.

Written by the indexing model from the issue text.