Add Biome config, lint script and lint CI job

[hippotastic]

Description

• This is an alternative to Add basic ESLint config, lint script and lint CI job #1640 which uses Biome instead of ESLint.

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Latest commit: 09ef454

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[hippotastic]

Here are the differences I noticed vs ESLint:

Pros:

• Simpler to configure
• Much faster
• The error messages generated by the CLI are awesome, include relevant code snippets and provide actionable recommendations

Cons:

• There seems to be no equivalent for the no-floating-promises ESLint rule yet
• The CLI output doesn't seem to be picked up by GitHub's problem matcher

[liruifengv]

Therel has a biome GitHub Action setup, I don't know if it works.
https://biomejs.dev/recipes/continuous-integration/

[hippotastic]

Closed for now after internal discussion, we'll start with ESLint and revisit a migration to Biome once the cons have been fixed in Biome. We love it though, really fast and promising!