Improve compliance checker UX + add search logging

- Loading message: shows estimated time (30-90 seconds) + rotating status
  updates (RMD, CPNI, USAC, BDC, STIR/SHAKEN, compiling report)
- Timeout increased to 90s (was 60s)
- Error messages: "try again in a few minutes" (not "moments" or "check internet")
- New compliance_check_log table: logs every FCC lookup with FRN, entity,
  IP, user agent, referrer, issue count, severity, response time
- Enables conversion funnel analysis and follow-up

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

api/src/routes/fcc-lookup.ts

@@ -55,6 +55,7 @@ router.get("/api/v1/fcc/lookup", async (req, res) => {
     return;
   }
 
+  const startMs = Date.now();
   try {
     // Phase 1: Fast local DB lookups first (~10ms)
     const [localRmdP, localRemovedP, local499P] = await Promise.allSettled([
@@ -824,6 +825,36 @@ router.get("/api/v1/fcc/lookup", async (req, res) => {
       checks,
       checked_at: new Date().toISOString(),
     });
+
+    // Log the check for analytics (non-blocking)
+    try {
+      const issueCount = checks?.filter((c: any) => c.severity === "critical" || c.severity === "major").length || 0;
+      const worstSeverity = checks?.some((c: any) => c.severity === "critical") ? "critical"
+        : checks?.some((c: any) => c.severity === "major") ? "major"
+        : checks?.some((c: any) => c.severity === "minor") ? "minor" : "clean";
+      const flaggedSlugs = checks
+        ?.filter((c: any) => c.severity === "critical" || c.severity === "major")
+        .map((c: any) => c.id || c.slug || "")
+        .filter(Boolean) || [];
+      const elapsed = Date.now() - startMs;
+
+      pool.query(
+        `INSERT INTO compliance_check_log (frn, entity_name, ip_address, user_agent, referrer, total_checks, issues_found, severity, check_slugs, response_ms)
+         VALUES ($1, $2, $3, $4, $5, $6, $7, $8, $9, $10)`,
+        [
+          frn,
+          entityName || null,
+          (req as any).clientIp || req.ip || null,
+          req.headers["user-agent"]?.slice(0, 200) || null,
+          req.headers.referer?.slice(0, 200) || null,
+          checks?.length || 0,
+          issueCount,
+          worstSeverity,
+          flaggedSlugs.length > 0 ? flaggedSlugs : null,
+          elapsed,
+        ],
+      ).catch(() => {});  // non-blocking, don't fail the response
+    } catch { /* ignore logging errors */ }
   } catch (err) {
     console.error("[fcc-lookup] Error:", err);
     res.status(500).json({ error: "FCC lookup failed. Please try again." });