## Issue Addressed
Closes#3709
## Proposed Changes
Add the job `compile-with-beta-compiler` to `test-suite`. This job has the following steps:
1. Use `actions/checkout@v3`. (Needed to run make in a later step.)
2. Install the dependencies listed in [build from source guide](https://lighthouse-book.sigmaprime.io/installation-source.html).
3. Change the compiler to the current beta version with `rustup override`.
4. Run `make`.
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