Fix (next search): Optimize the search problem interface and related functions #3221 (#9569)

### What problem does this PR solve?

Fix (next search): Optimize the search problem interface and related
functions #3221

-Add search_id to the retrievval_test interface
-Optimize handleSearchStrChange and handleSearch callbacks to determine
whether to enable AI search based on search configuration

### Type of change

- [x] Bug Fix (non-breaking change which fixes an issue)

web/src/pages/next-search/search-view.tsx

@@ -252,7 +252,10 @@ export default function SearchingView({
                           key={idx}
                           variant="transparent"
                           className="bg-bg-card text-text-secondary"
-                          onClick={handleClickRelatedQuestion(x)}
+                          onClick={handleClickRelatedQuestion(
+                            x,
+                            searchData.search_config.summary,
+                          )}
                         >
                           {x}
                         </Button>