controller v0.267.0: tests off DooPlex's Docker, cut-off copies refused, two pages true

R-650: internal/dockerexec — every docker exec routed through it; under
go test a real docker is refused (opt-in FELHOM_TEST_REAL_DOCKER=1; a stub
under the temp dir is allowed). api/stacks/web tests run under a silent
stub (TestMain). TestR650_NoBareDockerExec pins it repo-wide.
R-640: a dump without its engine's completion marker is refused before
the first mutation (unit + off-site restore) and again before any load.
R-499: the Tier-2 page's system-disk sentence has four true branches.
R-518: the backup button states the measured ~8 min stop.
R-626: measured on 9202, not reproduced.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_0159rPz1ZhFKsS53msqPYxtS

controller/internal/web/templates/tier2_config.html

@@ -16,9 +16,23 @@
     </p>
 
     {{if not .IsHDDApp}}
-    <div class="monitoring-banner monitoring-banner-yellow" style="margin-top:1rem">
-        {{T "tier2_config.ennek_az_alkalmazasnak_az_adatai"}}
+    {{if eq $.SystemBackup "protected"}}
+    <div class="monitoring-banner monitoring-banner-yellow" style="margin-top:1rem" data-system-backup="protected">
+        {{T "tier2_config.rendszerlemez.vedett"}}
     </div>
+    {{else if eq $.SystemBackup "same_disk"}}
+    <div class="monitoring-banner monitoring-banner-yellow" style="margin-top:1rem" data-system-backup="same_disk">
+        {{T "tier2_config.rendszerlemez.ugyanaz"}}
+    </div>
+    {{else if eq $.SystemBackup "absent"}}
+    <div class="monitoring-banner monitoring-banner-red" style="margin-top:1rem" data-system-backup="absent">
+        {{T "tier2_config.rendszerlemez.hianyzik"}}
+    </div>
+    {{else}}
+    <div class="monitoring-banner monitoring-banner-yellow" style="margin-top:1rem" data-system-backup="unknown">
+        {{T "tier2_config.rendszerlemez.ismeretlen"}}
+    </div>
+    {{end}}
     {{else}}
     <h3 style="margin-top:1.5rem">{{T "tier2_config.jelenlegi_allapot"}}</h3>
     <div class="sysinfo-grid">