refactor(api)!: align client with canonical HTTP contract

Route all feature requests through business API modules, sync generated DTOs, and add communication tests and architecture documentation.

BREAKING CHANGE: migrate the client to plural resource paths, canonical snake_case fields, ISO timestamps, and explicit paginated responses.

src/features/profile/views/ProfileView.vue

@@ -13,7 +13,7 @@ import ContributionHeatmap from '@/features/profile/components/ContributionHeatm
 import { useAuthStore } from '@/features/auth/stores/auth'
 import { useCloudsStore } from '@/features/clouds/stores/clouds'
 import { useProfileStore, type ProfileCloudItem } from '@/features/profile/stores/profile'
-import type { Profile } from '@/types/database'
+import type { Profile } from '@/types/models'
 
 interface TimelineGroup {
     key: string
@@ -325,7 +325,7 @@ async function submitEditModal(value: CloudEditFormValue) {
             viewedIdentifier.value,
             selectedCloud.value.id,
             {
-                type_id: value.cloudCategoryId,
+                cloud_type_id: value.cloudCategoryId,
                 latitude: blurCoordinate(value.latitude as number),
                 longitude: blurCoordinate(value.longitude as number),
                 description: value.description.trim(),