Add website favicon API and manual favicon profile updates.

Expose GET /tenants/{domain}/website/favicon for storefront tab icons, allow faviconMediaId on profile PATCH, and sync website API docs.

Co-authored-by: Cursor <cursoragent@cursor.com>

src/website/website-favicon.service.ts

@@ -0,0 +1,40 @@
+import { Injectable, NotFoundException } from '@nestjs/common';
+import { PrismaService } from '../prisma/prisma.service';
+import { TenantService } from '../tenant/tenant.service';
+
+@Injectable()
+export class WebsiteFaviconService {
+  constructor(
+    private readonly prisma: PrismaService,
+    private readonly tenant: TenantService,
+  ) {}
+
+  async getPublic(host: string) {
+    const business = await this.tenant.resolveBusinessByDomain(host);
+
+    const record = await this.prisma.business.findUnique({
+      where: { id: business.id },
+      select: {
+        faviconMediaId: true,
+        logoMedia: { select: { publicUrl: true } },
+        logoDarkMedia: { select: { publicUrl: true } },
+        faviconMedia: { select: { publicUrl: true } },
+      },
+    });
+
+    if (!record) {
+      throw new NotFoundException('Business not found');
+    }
+
+    const logoUrl = record.logoMedia?.publicUrl ?? null;
+    const logoDarkUrl = record.logoDarkMedia?.publicUrl ?? null;
+    const faviconUrl = record.faviconMedia?.publicUrl ?? logoUrl;
+
+    return {
+      faviconUrl,
+      logoUrl,
+      logoDarkUrl,
+      hasDedicatedFavicon: record.faviconMediaId != null,
+    };
+  }
+}