Hackathon 2024 - Biome 3 - Github Actions

[jeremywiebe]

Summary:

In this PR on the chain of Biome PRs, we change the Github Actions to use Biome to do linting and code formatting.

PRs

• Hackathon 2024 - Biome 1 #1796
• Hackathon 2024 - Biome 2 - Apply formatting #1797
• This PR --> Hackathon 2024 - Biome 3 - Github Actions #1798

Issue: --hackathon-2024--

Test plan:

Watch the actions and make sure they work

[github-actions]

Size Change: 0 B

Total Size: 866 kB

ℹ️ View Unchanged

Filename	Size
packages/kas/dist/es/index.js	38.8 kB
packages/keypad-context/dist/es/index.js	760 B
packages/kmath/dist/es/index.js	4.27 kB
packages/math-input/dist/es/index.js	77.7 kB
packages/math-input/dist/es/strings.js	1.79 kB
packages/perseus-core/dist/es/index.js	1.48 kB
packages/perseus-editor/dist/es/index.js	281 kB
packages/perseus-linter/dist/es/index.js	22.2 kB
packages/perseus/dist/es/index.js	419 kB
packages/perseus/dist/es/strings.js	3.4 kB
packages/pure-markdown/dist/es/index.js	3.66 kB
packages/simple-markdown/dist/es/index.js	12.4 kB

_{compressed-size-action}