docs: harden central log implementation plan

docs/superpowers/plans/2026-07-15-central-live-log-cte-density.md

@@ -437,7 +437,7 @@ export function CentralStatus({ working }: { working: boolean }) {
         const isLast = index === rows.length - 1;
         return (
           <li
-            key={`${index}-${line}`}
+            key={index}
             className={[
               "flex items-baseline gap-2 font-mono text-[0.72rem] leading-relaxed",
               isLast ? "text-foreground/80" : "text-muted-foreground/55",
@@ -719,8 +719,9 @@ Run:
 docker inspect -f '{{.Name}}|{{.State.Status}}|{{if .State.Health}}{{.State.Health.Status}}{{else}}no-healthcheck{{end}}|{{.Image}}|{{.State.StartedAt}}' \
   thothii-core-1 thothii-frontend-1 omics_portal-web-1
 docker top thothii-core-1 -eo pid,ppid,etime,args
-docker logs --since 10m --tail 200 thothii-frontend-1 2>&1 | \
-  rg -i -c 'fatal|emerg|panic|authorization:|api[_-]?key|password|secret' || true
+frontend_log_patterns=$(docker logs --since 10m --tail 200 thothii-frontend-1 2>&1 | \
+  rg -i -c 'fatal|emerg|panic|authorization:|api[_-]?key|password|secret' || true)
+printf 'frontend_log_patterns=%s\n' "${frontend_log_patterns:-0}"
 ```
 
 Expected: core is healthy with exactly its Step 2 image/start timestamp, frontend and portal are