chore: replace Biome with rslint and Prettier

[chenjiahan]

Summary

This PR replaces Biome with @rslint/core plus Prettier across local tooling and CI.
It updates the lint scripts and pre-commit hook, adds the new config files, and aligns docs, workflows, and editor settings with the new formatting stack.

Related Links

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[Copilot]

Pull request overview

Replaces Biome-based lint/format tooling with @rslint/core for linting and Prettier for formatting, updating local scripts, hooks, and CI/editor settings accordingly.

Changes:

• Swap biome check scripts for rslint + prettier (check/write) and update dependencies/lockfile.
• Remove Biome configuration and VS Code Biome recommendations; add Prettier config/ignore.
• Add rslint.config.ts and align workflow YAML formatting.

Reviewed changes

Copilot reviewed 11 out of 13 changed files in this pull request and generated 3 comments.

Show a summary per file

File	Description
src/index.ts	Removes Biome-specific ignore comments from rule configuration.
rslint.config.ts	Adds baseline rslint configuration.
README.md	Re-formats a snippet/paragraph (but retains typos).
pnpm-lock.yaml	Removes Biome + nano-staged; adds rslint + prettier.
package.json	Updates lint scripts, pre-commit hook, and devDependencies.
biome.json	Removes Biome configuration file.
.vscode/settings.json	Switches default formatter to Prettier.
.vscode/extensions.json	Recommends Prettier extension instead of Biome.
.prettierrc	Adds Prettier configuration.
.prettierignore	Adds Prettier ignore (lockfile).
.github/workflows/test.yml	Formatting-only updates (quotes).
.github/workflows/release.yml	Formatting-only updates (quotes).
.github/renovate.json	Adds Renovate configuration.

Files not reviewed (1)

• pnpm-lock.yaml: Language not supported

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