feat(web): add profile management

Co-authored-by: multica-agent <github@multica.ai>

apps/web/server/utils/profile.test.ts

@@ -0,0 +1,29 @@
+import { describe, expect, it } from 'vitest'
+import { profileAvatarUrl, visibleProfile } from './profile'
+
+const profile = {
+  id: '00000000-0000-0000-0000-000000000001',
+  display_name: 'Aster Vale',
+  description: 'Keeper of impossible maps.',
+  avatar_path: '00000000-0000-0000-0000-000000000001/avatar',
+  created_at: '2026-08-20T10:00:00.000Z',
+  updated_at: '2026-08-20T11:00:00.000Z',
+}
+
+describe('profile presentation', () => {
+  it('builds a cache-busted public avatar URL', () => {
+    expect(profileAvatarUrl(profile, 'https://example.supabase.co/')).toBe(
+      'https://example.supabase.co/storage/v1/object/public/profile-avatars/00000000-0000-0000-0000-000000000001/avatar?v=2026-08-20T11%3A00%3A00.000Z',
+    )
+  })
+
+  it('does not expose the storage path in a visible profile', () => {
+    const visible = visibleProfile(profile, 'https://example.supabase.co')
+    expect(visible).not.toHaveProperty('avatar_path')
+    expect(visible.avatar_url).toContain('/profile-avatars/')
+  })
+
+  it('returns no URL when the profile has no avatar', () => {
+    expect(profileAvatarUrl({ ...profile, avatar_path: null }, 'https://example.supabase.co')).toBeNull()
+  })
+})