Enable CTS for nearby brodacast.

Also fixed a few bugs related to broadcast.

Test: atest CtsNearbyFastPairTestCases
Bug: 219768328

Change-Id: Icf7561267137142eadfd2fffb75b19a18faa2f5e
diff --git a/nearby/tests/cts/fastpair/AndroidManifest.xml b/nearby/tests/cts/fastpair/AndroidManifest.xml
index e77d70f..ce841f2 100644
--- a/nearby/tests/cts/fastpair/AndroidManifest.xml
+++ b/nearby/tests/cts/fastpair/AndroidManifest.xml
@@ -18,6 +18,7 @@
 <manifest xmlns:android="http://schemas.android.com/apk/res/android"
     package="android.nearby.cts">
   <uses-sdk android:minSdkVersion="32" android:targetSdkVersion="32" />
+  <uses-permission android:name="android.permission.BLUETOOTH_CONNECT" />
   <uses-permission android:name="android.permission.WRITE_SECURE_SETTINGS" />
 
   <application>