Migrate log-engine to support Bun and Node.js

[warengonzaga]

Migration to Bun

We should migrate the log-engine project to support Bun. This migration should ensure that the project remains compatible with Node.js, and all features are tested to work with both Node.js and Bun runtimes.

Scope:

• Update build scripts and dependencies to run on Bun
• Retain Node.js support and compatibility
• Run and refactor tests to verify they pass under Bun and Node.js
• Document any differences or additional setup for Bun
• Add Bun-specific instructions to README

Acceptance Criteria:

• Project works in Node.js and Bun with the same set of features
• Tests pass on both runtime environments
• Documentation updated with Bun support and caveats

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• Label: migration, bun, node, enhancement