[feat]: Add Centralized Error Handling and Logging Format

### Problem
Error handling is inconsistent across commands; logs are mostly raw `console.error` without context metadata.

### Proposed Work
- Add a small logger utility (with command name, guild id, user id).
- Standardize catch blocks and interaction error replies.

### Acceptance Criteria
- Every command logs failures in a consistent structure.
- User-facing errors are safe and actionable.

Start by inspecting the command handlers and existing catch blocks that use console.error, then trace how interaction error replies are sent. Identify the commands that need the shared logger and consistent handling; done means every command logs failures with command, guild, and user context, while user-facing errors remain safe and actionable.

Written by the indexing model from the issue text.