Add a github action for nudging or closing stale issues and PRs

## Feature Request

As discussed in TSC meeting April 29th. Add a github action that helps keep issues and PRs moving forward or closing them.

## Description

There is a github action called [stale](https://github.com/actions/stale) which is made for this. It has an extensive set of options available to tailor the behavior we'd like.

## Context

Some issues or PRs go cold and are left unattended for a long time. Some due to getting resolved by similar issues or PRs, others get "lost in the pile" or suffer from prioritizing. Whatever the case, it would be nice to be reminded that these issues and PRs exist to move them forward or close them to decrease the backlog.

Start by reviewing the linked actions/stale documentation and the repository's GitHub Actions workflow entry point. Determine the intended options for nudging and closing inactive issues and pull requests, then verify that the workflow applies those behaviors as discussed in the issue.

Written by the indexing model from the issue text.