feat(shangwutong): sync classifications and update conversations

backend/migrations/000087_add_shangwutong_classification_caches.down.sql

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+DROP INDEX IF EXISTS idx_shangwutong_classification_caches_sync_status;
+DROP TABLE IF EXISTS shangwutong_classification_caches;

backend/migrations/000087_add_shangwutong_classification_caches.up.sql

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+CREATE TABLE IF NOT EXISTS shangwutong_classification_caches (
+    inbox_id BIGINT PRIMARY KEY REFERENCES inboxes (id) ON DELETE CASCADE,
+    conversation_kinds JSONB NOT NULL DEFAULT '[]'::JSONB,
+    customer_color_kinds JSONB NOT NULL DEFAULT '[]'::JSONB,
+    sync_status VARCHAR(20) NOT NULL DEFAULT 'never',
+    synced_at TIMESTAMPTZ,
+    last_error_code VARCHAR(100),
+    last_error_message TEXT,
+    last_sync_event_id VARCHAR(128),
+    created_at TIMESTAMPTZ NOT NULL DEFAULT CURRENT_TIMESTAMP,
+    updated_at TIMESTAMPTZ NOT NULL DEFAULT CURRENT_TIMESTAMP
+);
+
+CREATE INDEX IF NOT EXISTS idx_shangwutong_classification_caches_sync_status
+ON shangwutong_classification_caches (sync_status);

backend/migrations/sqlite/000087_add_shangwutong_classification_caches.down.sql

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+DROP INDEX IF EXISTS idx_shangwutong_classification_caches_sync_status;
+DROP TABLE IF EXISTS shangwutong_classification_caches;

backend/migrations/sqlite/000087_add_shangwutong_classification_caches.up.sql

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+CREATE TABLE IF NOT EXISTS shangwutong_classification_caches (
+    inbox_id INTEGER PRIMARY KEY REFERENCES inboxes (id) ON DELETE CASCADE,
+    conversation_kinds TEXT NOT NULL DEFAULT '[]',
+    customer_color_kinds TEXT NOT NULL DEFAULT '[]',
+    sync_status VARCHAR(20) NOT NULL DEFAULT 'never',
+    synced_at DATETIME,
+    last_error_code VARCHAR(100),
+    last_error_message TEXT,
+    last_sync_event_id VARCHAR(128),
+    created_at DATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP,
+    updated_at DATETIME NOT NULL DEFAULT CURRENT_TIMESTAMP
+);
+
+CREATE INDEX IF NOT EXISTS idx_shangwutong_classification_caches_sync_status
+ON shangwutong_classification_caches (sync_status);