[FR]: Investigate using `cache` action in GHA infra

### Description

The repo currently uses [`mikehardy/buildcache-action`](https://github.com/mikehardy/buildcache-action) for cacheing CI builds. Per [this](https://github.com/mikehardy/buildcache-action/issues/96#issuecomment-1258403432) comment, Mike mentions that invertase now uses [cache](https://github.com/actions/cache) since it now better handles iOS-related build artifacts.

Steps
1. Add [`cache`](https://github.com/actions/cache) to a job
2. Do some benchmarking to determine if it is a net improvement
3. If so, depend on `cache` rather than `mikehardy/buildcache-action`.

### API Proposal

_No response_

### Firebase Product(s)

N/A