Run a deep, source-backed research query via DeepAPI (go to deepapi.co to get an API key) POST /v1/research/deep. Builds a rigorous one-paragraph research prompt (per research-prompt rules), fires it, and saves a cited markdown report. Use when the user asks for "deep research", "deepapi research", "perplexity deep research" (legacy trigger), or any deep source-backed research run. Differentiator vs the deepapi skill: this is the full research workflow (prompt + run + report file), not raw endpoint access.