refactor(mcp): convert project_info.py resource to context manager pattern

Convert project_info MCP resource from module-level client import to the new
get_client() context manager pattern, enabling proper dependency injection.

Changes:
- Import get_client() instead of client from async_client module
- Wrap function body in 'async with get_client() as client:' block
- Indent all code inside context manager (lines 63-71)
- Update SPEC-16 checklist - Phase 0.3 COMPLETE! (All 16 tools/prompts/resources converted)

The project_info resource provides comprehensive project information via MCP:
- Project configuration and metadata
- Entity, observation, and relation counts
- Graph metrics (most connected entities, isolated entities)
- Recent activity and growth over time
- System status (database, watch service, version)

This conversion maintains the resource's functionality while:
- Ensuring proper client lifecycle management
- Enabling cloud app to inject custom transport via factory
- Allowing tests to mock client behavior
- Following httpx best practices for async context managers
- Moving auth to client creation instead of per-request

Testing:
- Typecheck passed (0 errors, 0 warnings)
- Resource function properly scoped (client inside async with block)

✅ Phase 0.3 Complete: All 16 MCP tools/prompts/resources converted!
- 13 tools in tools/ directory
- 2 prompts in prompts/ directory
- 1 resource in resources/ directory

Next: Phase 0.4 - Update CLI commands to use context manager pattern.
Related to SPEC-16 MCP Cloud Service Consolidation.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

Author: phernandez

specs/SPEC-16 MCP Cloud Service Consolidation.md

@@ -464,7 +464,7 @@ Convert from `from async_client import client` to `async with get_client() as cl
 - [x] `tools/sync_status.py` (typecheck passed)
 - [x] `prompts/continue_conversation.py` (typecheck passed)
 - [x] `prompts/search.py` (typecheck passed)
-- [ ] `resources/project_info.py`
+- [x] `resources/project_info.py` (typecheck passed)
 
 #### 0.4 Update CLI Commands (~3 files)
 Remove manual auth header passing, use context manager:

src/basic_memory/mcp/resources/project_info.py

@@ -5,7 +5,7 @@
 from loguru import logger
 from fastmcp import Context
 
-from basic_memory.mcp.async_client import client
+from basic_memory.mcp.async_client import get_client
 from basic_memory.mcp.project_context import get_active_project
 from basic_memory.mcp.server import mcp
 from basic_memory.mcp.tools.utils import call_get
@@ -59,11 +59,13 @@ async def project_info(
         print(f"Basic Memory version: {info.system.version}")
     """
     logger.info("Getting project info")
-    project_config = await get_active_project(client, project, context)
-    project_url = project_config.permalink
 
-    # Call the API endpoint
-    response = await call_get(client, f"{project_url}/project/info")
+    async with get_client() as client:
+        project_config = await get_active_project(client, project, context)
+        project_url = project_config.permalink
 
-    # Convert response to ProjectInfoResponse
-    return ProjectInfoResponse.model_validate(response.json())
+        # Call the API endpoint
+        response = await call_get(client, f"{project_url}/project/info")
+
+        # Convert response to ProjectInfoResponse
+        return ProjectInfoResponse.model_validate(response.json())