Refactor: replace ESLint and Prettier with Biome

[fityannugroho]

PR Checklist

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Put [x] to check

• [x] The commit message follows our Contributing Guidelines
• [x] Tests for the changes have been added (optional, for bug fixes or features)
• [x] Docs have been added / updated (optional, for bug fixes or features)

PR Type

What kind of change does this PR introduce?

Please check any kind of changes that applies to this PR using [x]

• [ ] Bug fix
• [ ] Feature
• [ ] Code style update (formatting, local variables)
• [x] Refactoring (no functional changes, no api changes)
• [ ] Build related changes
• [ ] CI related changes

What is the current behavior?

Please describe the current behavior that you are modifying, or link to a relevant issue.

Issue Number: N/A

• Outdated ESLint configuration (Latest ESLint uses flat config)
• Too many third-party packages needed to make ESLint work with Typescript and Prettier

What is the new behavior?

This pull request includes several changes focused on migrating from ESLint and Prettier to Biome for linting and formatting. The most important changes include the removal of ESLint and Prettier configurations, the addition of Biome configuration, and updates to the package.json to reflect these changes.

Migration to Biome:

• .eslintrc.js: Removed the ESLint configuration file.
• .prettierrc: Removed the Prettier configuration file.
• biome.json: Added a new Biome configuration file with detailed settings for linting and formatting.

Updates to package.json:

• package.json: Updated the lint and lint:fix scripts to use Biome instead of ESLint.
• package.json: Added @biomejs/biome to devDependencies and removed ESLint and Prettier dependencies.

Minor formatting changes:

• nest-cli.json: Reformatted the plugins array to a single line.
• package.json: Reformatted the keywords array to a single line.

Other information

This PR makes almost no changes to any existing styling rules.