fix(site): [SITE-05] repair search interactions and align peer dependency

refactor/third-party.json

@@ -234,7 +234,7 @@
       "declaredRuntimeDependencies": {},
       "resolvedRuntimeDependencies": [],
       "developmentDependencies": {
-        "flexsearch": "0.8.158",
+        "flexsearch": "0.7.43",
         "markdown-it": "14.1.0",
         "vitepress": "1.6.3",
         "vitepress-plugin-search": "1.0.4-alpha.22",