Improve E2E launch diagnostics and failure alerts

.github/scripts/run-nightly-e2e.sh

@@ -60,6 +60,7 @@ stop_pid_file() {
 # shellcheck disable=SC2329 # Invoked by the EXIT/INT/TERM trap below.
 cleanup() {
   set +e
+  stop_pid_file "$artifact_dir/logcat.pid"
   stop_pid_file "$artifact_dir/metro.pid"
   stop_pid_file "$artifact_dir/mock-server.pid"
 
@@ -81,6 +82,12 @@ cleanup() {
 
 trap cleanup EXIT INT TERM
 
+if [[ "$platform" == "android" ]]; then
+  adb -s "$device_id" logcat -c
+  adb -s "$device_id" logcat -v threadtime >"$artifact_dir/logcat.log" 2>&1 &
+  printf '%s\n' "$!" >"$artifact_dir/logcat.pid"
+fi
+
 phase "Starting PostgreSQL, Redis, and mock server"
 if [[ "$platform" == "ios" ]]; then
   brew install postgresql@14 2>&1 | tee "$artifact_dir/native-dependencies.log"