feat: Add public status page with 10-second polling

Implement status.corrosionmgmt.com public status page showcasing all
Corrosion servers that opt-in. Drives platform visibility and attracts
new customers.

Backend:
- Migration 007: status_page_description TEXT column
- models/public.rs: PublicServerStatus, PlatformHealth, StatusPageResponse
- db/public.rs: get_public_servers() with uptime calculations (24h/7d/30d)
- api/public.rs: GET /api/public/status (no auth)
- api/settings.rs: public site config endpoints (auth required)

Frontend:
- StatusPageView.vue: Server grid with live stats, uptime badges, wipe schedules
- Platform health header: total servers, online count, total players
- Auto-refresh every 10 seconds via polling
- Mobile-responsive design
- SettingsView.vue: Public Status tab with opt-in toggle

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

frontend/src/views/admin/SettingsView.vue

@@ -2,13 +2,13 @@
 import { ref, onMounted } from 'vue'
 import { useAuthStore } from '@/stores/auth'
 import { useApi } from '@/composables/useApi'
-import { Settings, Key, Globe, User, Save, Loader2 } from 'lucide-vue-next'
+import { Settings, Key, Globe, User, Save, Loader2, Eye } from 'lucide-vue-next'
 
 const auth = useAuthStore()
 const api = useApi()
 
 const saving = ref(false)
-const section = ref<'account' | 'license' | 'domain'>('account')
+const section = ref<'account' | 'license' | 'domain' | 'public'>('account')
 
 const accountForm = ref({
   username: '',
@@ -20,7 +20,12 @@ const domainForm = ref({
   custom_domain: '',
 })
 
-function loadForms() {
+const publicSiteForm = ref({
+  show_on_status_page: false,
+  status_page_description: '',
+})
+
+async function loadForms() {
   if (auth.user) {
     accountForm.value.username = auth.user.username
     accountForm.value.email = auth.user.email
@@ -29,6 +34,15 @@ function loadForms() {
     domainForm.value.subdomain = auth.license.subdomain || ''
     domainForm.value.custom_domain = auth.license.custom_domain || ''
   }
+
+  // Load public site config
+  try {
+    const config = await api.get<any>('/settings/public-site')
+    publicSiteForm.value.show_on_status_page = config.show_on_status_page
+    publicSiteForm.value.status_page_description = config.status_page_description || ''
+  } catch (err) {
+    console.error('Failed to load public site settings:', err)
+  }
 }
 
 async function saveAccount() {
@@ -53,6 +67,17 @@ async function saveDomain() {
   }
 }
 
+async function savePublicSite() {
+  saving.value = true
+  try {
+    await api.put('/settings/public-site', publicSiteForm.value)
+  } catch {
+    // Handle error
+  } finally {
+    saving.value = false
+  }
+}
+
 onMounted(() => {
   loadForms()
 })
@@ -73,6 +98,7 @@ onMounted(() => {
           { key: 'account', label: 'Account', icon: User },
           { key: 'license', label: 'License', icon: Key },
           { key: 'domain', label: 'Domain', icon: Globe },
+          { key: 'public', label: 'Public Status', icon: Eye },
         ] as const)"
         :key="tab.key"
         @click="section = tab.key"
@@ -206,5 +232,58 @@ onMounted(() => {
         Save
       </button>
     </div>
+
+    <!-- Public Status Page -->
+    <div v-if="section === 'public'" class="bg-neutral-900 border border-neutral-800 rounded-lg p-5 space-y-4">
+      <h2 class="text-sm font-medium text-neutral-400 uppercase tracking-wider">Public Status Page</h2>
+      <p class="text-xs text-neutral-500">
+        Showcase your server on the public Corrosion status page at
+        <a href="https://status.corrosionmgmt.com" target="_blank" class="text-oxide-400 hover:text-oxide-300">
+          status.corrosionmgmt.com
+        </a>
+      </p>
+
+      <div class="space-y-4">
+        <!-- Toggle -->
+        <div class="flex items-center justify-between p-4 bg-neutral-800 rounded-lg border border-neutral-700">
+          <div>
+            <p class="text-sm font-medium text-neutral-200">Show on status page</p>
+            <p class="text-xs text-neutral-500 mt-1">Display your server publicly with live stats</p>
+          </div>
+          <button
+            @click="publicSiteForm.show_on_status_page = !publicSiteForm.show_on_status_page"
+            :class="publicSiteForm.show_on_status_page ? 'bg-oxide-600' : 'bg-neutral-700'"
+            class="relative inline-flex h-6 w-11 items-center rounded-full transition-colors focus:outline-none focus:ring-2 focus:ring-oxide-500 focus:ring-offset-2 focus:ring-offset-neutral-900"
+          >
+            <span
+              :class="publicSiteForm.show_on_status_page ? 'translate-x-6' : 'translate-x-1'"
+              class="inline-block h-4 w-4 transform rounded-full bg-white transition-transform"
+            ></span>
+          </button>
+        </div>
+
+        <!-- Description -->
+        <div>
+          <label class="block text-xs text-neutral-500 mb-1">Description (optional)</label>
+          <textarea
+            v-model="publicSiteForm.status_page_description"
+            placeholder="Friendly 10x modded server with custom plugins..."
+            rows="3"
+            class="w-full px-3 py-2 bg-neutral-800 border border-neutral-700 rounded-lg text-sm text-neutral-100 placeholder-neutral-500 focus:outline-none focus:ring-2 focus:ring-oxide-500/50 focus:border-oxide-500 transition-colors resize-none"
+          ></textarea>
+          <p class="text-xs text-neutral-600 mt-1">Brief description shown on the status page</p>
+        </div>
+      </div>
+
+      <button
+        @click="savePublicSite"
+        :disabled="saving"
+        class="flex items-center gap-2 px-4 py-2 bg-oxide-600 hover:bg-oxide-700 disabled:opacity-50 text-white text-sm font-medium rounded-lg transition-colors"
+      >
+        <Loader2 v-if="saving" class="w-4 h-4 animate-spin" />
+        <Save v-else class="w-4 h-4" />
+        Save
+      </button>
+    </div>
   </div>
 </template>