fix: omit kind on nested per-kind ldctx entries for multi-kind contexts (AIC-2695)

Match LaunchDarkly's standard context JSON, where per-kind objects under a
multi-kind context omit "kind" (it is implied by the property key). Keeps
{{ldctx.<kind>.kind}} consistent with the JS and Python SDKs.

Co-authored-by: Cursor <cursoragent@cursor.com>

Author: ctawiah

lib/sdk/server-ai/src/main/java/com/launchdarkly/sdk/server/ai/internal/Interpolator.java

@@ -101,17 +101,21 @@ private static Map<String, Object> contextToMap(LDContext context) {
       for (int i = 0; i < count; i++) {
         LDContext individual = context.getIndividualContext(i);
         if (individual != null) {
-          map.put(individual.getKind().toString(), singleContextToMap(individual));
+          // Mirror LaunchDarkly's standard context JSON: the per-kind objects nested under a
+          // multi-kind context omit "kind" because it is already implied by the property key.
+          map.put(individual.getKind().toString(), singleContextToMap(individual, false));
         }
       }
       return map;
     }
-    return singleContextToMap(context);
+    return singleContextToMap(context, true);
   }
 
-  private static Map<String, Object> singleContextToMap(LDContext context) {
+  private static Map<String, Object> singleContextToMap(LDContext context, boolean includeKind) {
     Map<String, Object> map = new HashMap<>();
-    map.put("kind", context.getKind().toString());
+    if (includeKind) {
+      map.put("kind", context.getKind().toString());
+    }
     map.put("key", context.getKey());
     if (context.getName() != null) {
       map.put("name", context.getName());

lib/sdk/server-ai/src/test/java/com/launchdarkly/sdk/server/ai/internal/InterpolatorTest.java

@@ -85,6 +85,17 @@ public void exposesMultiKindContextByKind() {
     assertThat(result, is("multi/user-key/Bob/gold"));
   }
 
+  @Test
+  public void multiKindNestedContextsOmitKind() {
+    LDContext multi = LDContext.createMulti(
+        LDContext.builder("user-key").build(),
+        LDContext.builder(com.launchdarkly.sdk.ContextKind.of("org"), "org-key").build());
+    // Standard LaunchDarkly context JSON omits "kind" on the per-kind objects of a multi-kind
+    // context, so {{ldctx.user.kind}} renders empty rather than echoing the kind name.
+    assertThat(
+        interpolator.interpolate("[{{ldctx.user.kind}}]", null, multi), is("[]"));
+  }
+
   @Test
   public void ldctxOverridesUserSuppliedValue() {
     Map<String, Object> userLdctx = new HashMap<>();