feat: improve web search and consolidate browser open

.claude/settings.json

@@ -47,7 +47,6 @@
       "Bash(grep -v ':0$')",
       "Bash(curl -s -m 2 http://127.0.0.1:4002/sse -o /dev/null -w 'status=%{http_code} time=%{time_total}s\\\\n')",
       "mcp__gcu-tools__browser_status",
-      "mcp__gcu-tools__browser_start",
       "mcp__gcu-tools__browser_navigate",
       "mcp__gcu-tools__browser_evaluate",
       "mcp__gcu-tools__browser_screenshot",

.claude/skills/browser-edge-cases/registry.md

@@ -214,7 +214,7 @@ Curated list of known browser automation edge cases with symptoms, causes, and f
 | **Symptom** | `browser_open()` returns `"No group with id: XXXXXXX"` even though `browser_status` shows `running: true` |
 | **Root Cause** | In-memory `_contexts` dict has a stale `groupId` from a Chrome tab group that was closed outside the tool (e.g. user closed the tab group) |
 | **Detection** | `browser_status` returns `running: true` but `browser_open` fails with "No group with id" |
-| **Fix** | Call `browser_stop()` to clear stale context from `_contexts`, then `browser_start()` again |
+| **Fix** | Call `browser_stop()` to clear stale context from `_contexts`, then `browser_open(url)` to lazy-create a fresh one |
 | **Code** | `tools/lifecycle.py:144-160` - `already_running` check uses cached dict without validating against Chrome |
 | **Verified** | 2026-04-03 ✓ |