MCP: add Bright Data to well-known server presets

[kjhq]

What

Adds Bright Data's hosted MCP server to the MCP plugin's well-known server
preset catalog, so it shows up in the add-connection flow alongside Context7,
Browserbase, Firecrawl, etc.

   {
     id: "browserbase",
     name: "Browserbase",
     summary: "Cloud browser sessions for web scraping and automation.",
     url: "https://mcp.browserbase.com/mcp",
     endpoint: "https://mcp.browserbase.com/mcp",
     icon: "https://integrations.sh/logo/browserbase.com",
     featured: true,
   },
+  {
+    id: "brightdata",
+    name: "Bright Data",
+    summary: "Web search, scraping, structured data extraction, and browser automation via MCP.",
+    url: "https://mcp.brightdata.com/mcp",
+    endpoint: "https://mcp.brightdata.com/mcp",
+    icon: "https://integrations.sh/logo/brightdata.com",
+    featured: true,
+  },

Also adds the endpoint to the API-key section of
probe-shape-real-servers.live.test.ts so live probe runs keep verifying
auth-shape detection for it.

Why

Bright Data's MCP server (https://github.com/brightdata/brightdata-mcp) is a
hosted, actively maintained web-access server exposing 69 tools: web search
(Google/Bing/Yandex), page scraping with unblocking, structured extraction
(45 web_data_* tools for Amazon, LinkedIn, TikTok, etc.), and remote browser
automation (13 scraping_browser_* tools). Free tier: 5,000 requests/month.

Auth is an API token placed in the server URL's token query parameter —
already supported by the plugin via the query API-key placement
(queryParams in connection config), so no auth code changes are needed.

Verification

1. bun install.
2. bun run format then bun run format:check.
3. bun run lint and bun run typecheck.
4. bun run test (turbo, e2e excluded).

All gates pass locally: format/lint/typecheck clean,
@executor-js/plugin-mcp 138 tests pass (30 skipped are the live-server
tests, skipped by default).

Changeset

.changeset/brightdata-mcp-preset.md — @executor-js/plugin-mcp patch.

[kjhq]

Closing — testing locally before resubmitting.