feat(coding-agent/web): added web search CLI subcommand and refactored provider management

- Added new `omp q` CLI subcommand for testing web search providers with query, provider, recency, and limit options.
- Added web search provider information API with centralized provider-info module supporting authentication requirements and provider metadata.
- Added support for `hour` recency filter option in Perplexity web search.
- Refactored web search provider definitions into centralized provider-info module for improved maintainability.
- Updated web search result rendering to support long-form answers with text wrapping in CLI mode.
- Removed related questions section from web search result rendering.

packages/coding-agent/src/cli/args.ts

@@ -196,6 +196,7 @@ ${chalk.bold("Subcommands:")}
   jupyter   Manage the shared Jupyter gateway
   shell     Interactive shell console (brush-core test)
   grep      Test grep tool
+  q         Test web search providers
 
 ${chalk.bold("Options:")}
   --model <pattern>              Model to use (fuzzy match: "opus", "gpt-5.2", or "p-openai/gpt-5.2")