feat(research): Adds MCP tool for command

- New MCP Tool: research tool enables AI-powered research with project context
- Context Integration: Supports task IDs, file paths, custom context, and project tree
- Fuzzy Task Discovery: Automatically finds relevant tasks using semantic search
- Token Management: Detailed token counting and breakdown by context type
- Multiple Detail Levels: Support for low, medium, and high detail research responses
- Telemetry Integration: Full cost tracking and usage analytics
- Direct Function: researchDirect with comprehensive parameter validation
- Silent Mode: Prevents console output interference with MCP JSON responses
- Error Handling: Robust error handling with proper MCP response formatting

This completes subtasks 94.5 (Direct Function) and 94.6 (MCP Tool) for the research command implementation, providing a powerful research interface for integrated development environments like Cursor.

Updated documentation across taskmaster.mdc, README.md, command-reference.md, examples.md, tutorial.md, and docs/README.md to highlight research capabilities and usage patterns.

.cursor/rules/taskmaster.mdc

@@ -366,6 +366,43 @@ This document provides a detailed reference for interacting with Taskmaster, cov
 
 ---
 
+## AI-Powered Research
+
+### 25. Research (`research`)
+
+*   **MCP Tool:** `research`
+*   **CLI Command:** `task-master research [options]`
+*   **Description:** `Perform AI-powered research queries with project context to get fresh, up-to-date information beyond the AI's knowledge cutoff.`
+*   **Key Parameters/Options:**
+    *   `query`: `Required. Research query/prompt (e.g., "What are the latest best practices for React Query v5?").` (CLI: `[query]` positional or `-q, --query <text>`)
+    *   `taskIds`: `Comma-separated list of task/subtask IDs for context (e.g., "15,16.2,17").` (CLI: `-i, --id <ids>`)
+    *   `filePaths`: `Comma-separated list of file paths for context (e.g., "src/api.js,docs/readme.md").` (CLI: `-f, --files <paths>`)
+    *   `customContext`: `Additional custom context text to include in the research.` (CLI: `-c, --context <text>`)
+    *   `includeProjectTree`: `Include project file tree structure in context (default: false).` (CLI: `--tree`)
+    *   `detailLevel`: `Detail level for the research response: 'low', 'medium', 'high' (default: medium).` (CLI: `--detail <level>`)
+    *   `projectRoot`: `The directory of the project. Must be an absolute path.` (CLI: Determined automatically)
+*   **Usage:** **This is a POWERFUL tool that agents should use FREQUENTLY** to:
+    *   Get fresh information beyond knowledge cutoff dates
+    *   Research latest best practices, library updates, security patches
+    *   Find implementation examples for specific technologies
+    *   Validate approaches against current industry standards
+    *   Get contextual advice based on project files and tasks
+*   **When to Consider Using Research:**
+    *   **Before implementing any task** - Research current best practices
+    *   **When encountering new technologies** - Get up-to-date implementation guidance (libraries, apis, etc)
+    *   **For security-related tasks** - Find latest security recommendations
+    *   **When updating dependencies** - Research breaking changes and migration guides
+    *   **For performance optimization** - Get current performance best practices
+    *   **When debugging complex issues** - Research known solutions and workarounds
+*   **Research + Action Pattern:**
+    *   Use `research` to gather fresh information
+    *   Use `update_subtask` to commit findings with timestamps
+    *   Use `update_task` to incorporate research into task details
+    *   Use `add_task` with research flag for informed task creation
+*   **Important:** This MCP tool makes AI calls and can take up to a minute to complete. The research provides FRESH data beyond the AI's training cutoff, making it invaluable for current best practices and recent developments.
+
+---
+
 ## File Management
 
 ### 24. Generate Task Files (`generate`)