fix: show all nearby sites and explicit NCT ID per trial

RESEARCH_SYSTEM output format now:
- Lists every nearest_sites entry under "Nearby sites:" instead of
showing only the closest facility in a single 📍 header line
- Adds an explicit **NCT:** line so the trial number appears as readable
text, not just embedded in the URL

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

prompts.py

@@ -89,11 +89,13 @@ Workflow:
    List the top 10 results per section ranked by site proximity.
    For EACH entry use exactly this format (repeat the block per entry):
 
-   📍 **[Closest hospital/facility name]** — [City, State] ([X] mi)
    **Trial:** [Full title] ([Phase] — or "Observational" / "Expanded Access" as applicable)
+   **NCT:** [nct_id]
    **Sponsor:** [Lead sponsor]
    **Principal Investigator:** [Name — or "Not listed" if absent]
    **Contact:** [Phone number] | [Email address] (use "Not listed" for any missing field)
+   **Nearby sites:** List every entry in nearest_sites on its own line:
+     📍 [facility] — [city, state] ([distance_miles] mi)
    **Summary:** [2–3 sentence plain-language description of what the trial/program is testing
                and why it may matter for this patient]
    **Eligibility:** Build a checklist from the trial's parsed_criteria and deterministic_verdicts.
@@ -108,7 +110,7 @@ Workflow:
      **Overall: Eligible** / **Overall: Not eligible** / **Overall: Likely eligible — confirm missing info**
    If any ! criteria exist, add: *Missing info: [list what data would resolve each] — ask your care team.*
    If parsed_criteria is absent for a trial, omit this section entirely.
-   **Link:** https://clinicaltrials.gov/study/[NCT_ID]
+   **Link:** https://clinicaltrials.gov/study/[nct_id]
 
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