Disable retry instrumentations if both Early Flakiness Detection and …

…Flaky Test Retries are turned off (#6925)

dd-java-agent/agent-ci-visibility/src/main/java/datadog/trace/civisibility/config/ModuleExecutionSettingsFactoryImpl.java

@@ -66,7 +66,7 @@ public ModuleExecutionSettings create(JvmInfo jvmInfo, @Nullable String moduleNa
     boolean earlyFlakeDetectionEnabled = isEarlyFlakeDetectionEnabled(ciVisibilitySettings);
     Map<String, String> systemProperties =
         getPropertiesPropagatedToChildProcess(
-            codeCoverageEnabled, itrEnabled, flakyTestRetriesEnabled);
+            codeCoverageEnabled, itrEnabled, flakyTestRetriesEnabled, earlyFlakeDetectionEnabled);
 
     LOGGER.info(
         "CI Visibility settings ({}, {}):\n"
@@ -196,7 +196,10 @@ private boolean isEarlyFlakeDetectionEnabled(CiVisibilitySettings ciVisibilitySe
   }
 
   private Map<String, String> getPropertiesPropagatedToChildProcess(
-      boolean codeCoverageEnabled, boolean itrEnabled, boolean flakyTestRetriesEnabled) {
+      boolean codeCoverageEnabled,
+      boolean itrEnabled,
+      boolean flakyTestRetriesEnabled,
+      boolean earlyFlakeDetectionEnabled) {
     Map<String, String> propagatedSystemProperties = new HashMap<>();
     Properties systemProperties = System.getProperties();
     for (Map.Entry<Object, Object> e : systemProperties.entrySet()) {
@@ -223,6 +226,11 @@ private Map<String, String> getPropertiesPropagatedToChildProcess(
             CiVisibilityConfig.CIVISIBILITY_FLAKY_RETRY_ENABLED),
         Boolean.toString(flakyTestRetriesEnabled));
 
+    propagatedSystemProperties.put(
+        Strings.propertyNameToSystemPropertyName(
+            CiVisibilityConfig.CIVISIBILITY_EARLY_FLAKE_DETECTION_ENABLED),
+        Boolean.toString(earlyFlakeDetectionEnabled));
+
     // explicitly disable build instrumentation in child processes,
     // because some projects run "embedded" Maven/Gradle builds as part of their integration tests,
     // and we don't want to show those as if they were regular build executions