feat: optimize integrations initial loading (#40118)

Co-authored-by: autofix-ci[bot] <114827586+autofix-ci[bot]@users.noreply.github.com>

api/core/plugin/impl/plugin.py

@@ -14,6 +14,7 @@ from core.plugin.entities.plugin import (
 )
 from core.plugin.entities.plugin_daemon import (
     PluginDecodeResponse,
+    PluginInstalledIdsDaemonResponse,
     PluginInstallTask,
     PluginInstallTaskStartResponse,
     PluginListResponse,
@@ -68,6 +69,16 @@ class PluginInstaller(BasePluginClient):
         )
         return result.list
 
+    def list_installed_plugin_ids(self, tenant_id: str, category: PluginCategory) -> list[str]:
+        """List all currently installed plugin IDs in one category."""
+        result = self._request_with_plugin_daemon_response(
+            "GET",
+            f"plugin/{tenant_id}/management/installation/ids",
+            PluginInstalledIdsDaemonResponse,
+            params={"category": category.value},
+        )
+        return result.plugin_ids
+
     def list_plugins_with_total(self, tenant_id: str, page: int, page_size: int) -> PluginListResponse:
         return self._request_with_plugin_daemon_response(
             "GET",
@@ -77,13 +88,28 @@ class PluginInstaller(BasePluginClient):
         )
 
     def list_plugins_by_category(
-        self, tenant_id: str, category: PluginCategory, page: int, page_size: int
+        self,
+        tenant_id: str,
+        category: PluginCategory,
+        page: int,
+        page_size: int,
+        *,
+        query: str = "",
+        tags: Sequence[str] = (),
+        language: str = "en_US",
     ) -> PluginListWithoutTotalResponse:
         return self._request_with_plugin_daemon_response(
             "GET",
             f"plugin/{tenant_id}/management/{category.value}/list",
             PluginListWithoutTotalResponse,
-            params={"page": page, "page_size": page_size, "response_type": "paged"},
+            params={
+                "page": page,
+                "page_size": page_size,
+                "response_type": "paged",
+                "query": query,
+                "tags": list(tags),
+                "language": language,
+            },
         )
 
     def upload_pkg(