Update dependencies to safe versions and fix CVEs

[Mitriyweb]

I have updated the project's dependencies to their latest safe versions (published at least 30 days ago) to address security vulnerabilities and ensure stability. Key updates include:

1. Security Fixes: Resolved high-severity CVEs in vite and @anthropic-ai/claude-agent-sdk.
2. Stability: All updated packages are at least 30 days old, minimizing the risk of supply-chain attacks or "bleeding-edge" bugs.
3. Consistency: Maintained the project's convention of exact version pinning in package.json.
4. Maintenance: Migrated biome.json to the latest schema and updated the bun.lock file.
5. Cleanliness: Ensured that no temporary build artifacts or secondary lockfiles were committed.

The changes were verified by running the full test suite (bun test), linting, typechecking, and a security audit using npm audit on a temporary lockfile.

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PR created automatically by Jules for task 17370865204673744156 started by @Mitriyweb

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