[test] Use std::regex_search in no_logging test (#36131)

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Closes #36131

COPYBARA_INTEGRATE_REVIEW=https://github.com/grpc/grpc/pull/36131 from yijiem:no-logging f3f638176f
PiperOrigin-RevId: 617630514

test/core/end2end/tests/no_logging.cc

@@ -87,7 +87,7 @@ class Verifier {
     }
     auto it = allowed_logs_by_module->find(filename);
     if (it != allowed_logs_by_module->end() &&
-        std::regex_match(args->message, it->second)) {
+        std::regex_search(args->message, it->second)) {
       gpr_default_log(args);
       return;
     }