Investigate why the api exporter test is flaky #8483
Description
test/package/api_export/api_exporter_test.dart: apiExporter.start() (failed)
ClientException: Connection reset by peer, uri=http://localhost:43987/api/admin/actions/moderate-package-version
package:http/src/io_client.dart 156:7 IOClient.send
===== asynchronous gap ===========================
package:http/retry.dart 115:20 RetryClient.send
===== asynchronous gap ===========================
package:pub_dev/tool/utils/http.dart 74:12 _AuthenticatedClient.send
===== asynchronous gap ===========================
package:api_builder/_client_utils.dart 64:52 Client.requestJson.<fn>
===== asynchronous gap ===========================
package:pub_dev/frontend/handlers/pubapi.client.dart 4[96](https://github.com/dart-lang/pub-dev/actions/runs/12906633199/job/35988545810?pr=8482#step:7:99):51 PubApiClient.adminInvokeAction
===== asynchronous gap ===========================
test/package/api_export/api_exporter_test.dart 299:5 _testExportedApiSynchronization
===== asynchronous gap ===========================
test/package/api_export/api_exporter_test.dart 81:7 main.<fn>