fix: License key format, login populates license, case-insensitive email

- admin.service.ts: createLicense() now uses CORR-XXXX-XXXX-XXXX format
  instead of raw hex hash
- admin.service.ts: getLicenses() flattens owner_email in response to
  match frontend expected shape
- auth.service.ts: Login/register responses now include full license
  object so frontend can populate auth store
- auth.service.ts: Email lookups are case-insensitive (LOWER()) to
  prevent duplicate accounts from case variations
- LoginView/RegisterView: Call setLicense() after setAuth()
- AdminLicenses: Handle null expires_at (was showing Dec 31, 1969),
  fix nullable types, fix query param name (per_page → limit)

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

backend-nest/src/modules/admin/admin.service.ts

@@ -57,13 +57,16 @@ export class AdminService {
     const [licenses, total] = await queryBuilder.getManyAndCount();
 
     return {
-      data: licenses,
-      pagination: {
-        page,
-        limit,
-        total,
-        total_pages: Math.ceil(total / limit),
-      },
+      data: licenses.map(l => ({
+        id: l.id,
+        license_key: l.license_key,
+        owner_email: l.owner?.email ?? '',
+        server_name: l.server_name,
+        status: l.status,
+        created_at: l.created_at,
+        expires_at: l.expires_at,
+      })),
+      total,
     };
   }
 
@@ -92,8 +95,11 @@ export class AdminService {
       await this.userRepo.save(user);
     }
 
-    // Create license
-    const licenseKey = crypto.randomBytes(32).toString('hex');
+    // Create license (branded CORR-XXXX-XXXX-XXXX format)
+    const part1 = crypto.randomBytes(2).toString('hex').toUpperCase();
+    const part2 = crypto.randomBytes(2).toString('hex').toUpperCase();
+    const part3 = crypto.randomBytes(2).toString('hex').toUpperCase();
+    const licenseKey = `CORR-${part1}-${part2}-${part3}`;
     const license = this.licenseRepo.create({
       license_key: licenseKey,
       owner_user_id: user.id,