fix: update admin flows and review report

frontend/admin/scripts/run-playwright-auth-e2e.ps1

@@ -165,7 +165,7 @@ try {
     $env:GOCACHE = $goCacheDir
     $env:GOMODCACHE = $goModCacheDir
     $env:GOPATH = $goPathDir
-    go build -o $serverExePath .\cmd\server\main.go
+    go build -o $serverExePath ./cmd/server
     if ($LASTEXITCODE -ne 0) {
       throw 'server build failed'
     }

frontend/admin/src/components/common/ui-consistency.test.tsx

@@ -530,13 +530,13 @@ describe('Interaction Behavior', () => {
 
     const handleSearch = vi.fn()
 
+    let timeoutId: ReturnType<typeof setTimeout>
     const TestSearchInput = ({ onSearch }: { onSearch: (value: string) => void }) => {
-      let timeout: ReturnType<typeof setTimeout>
       return (
         <input
           onChange={(e) => {
-            clearTimeout(timeout)
-            timeout = setTimeout(() => onSearch(e.target.value), 300)
+            clearTimeout(timeoutId)
+            timeoutId = setTimeout(() => onSearch(e.target.value), 300)
           }}
         />
       )