fix(desktop): retain cold-start budget after runtime installation

apps/desktop/src/lib/with-timeout.ts

@@ -39,6 +39,7 @@ export async function withBootstrapAwareTimeout<T>(
   cancelled: () => boolean = () => false
 ): Promise<T> {
   let settled = false
+  let setupObserved = false
   const request = promise.then(
     value => {
       settled = true
@@ -58,9 +59,17 @@ export async function withBootstrapAwareTimeout<T>(
         throw error
       }
       const state = await withTimeout(bootstrapState(), Math.min(ms, 5_000), message)
-      if (!state?.active && !state?.setupChoice) {
-        throw error
+      if (state?.active || state?.setupChoice) {
+        setupObserved = true
+        continue
       }
+      // Setup may have finished just before this probe. The new backend must
+      // still receive one complete cold-start budget after the installer.
+      if (setupObserved) {
+        setupObserved = false
+        continue
+      }
+      throw error
     }
   }
 }