diff --git a/generators/src/main/java/com/algolia/codegen/cts/tests/ParametersWithDataType.java b/generators/src/main/java/com/algolia/codegen/cts/tests/ParametersWithDataType.java
index 33954c419d3..a70abf23aae 100644
--- a/generators/src/main/java/com/algolia/codegen/cts/tests/ParametersWithDataType.java
+++ b/generators/src/main/java/com/algolia/codegen/cts/tests/ParametersWithDataType.java
@@ -478,7 +478,8 @@ private void handleMap(String paramName, Object param, Map<String, Object> testO
   }
 
   private void handlePrimitive(Object param, Map<String, Object> testOutput, IJsonSchemaValidationProperties spec) throws CTSException {
-    if (spec != null && spec.getIsPrimitiveType()) {
+    // some int64 are not considered primitive, thanks a lot openapi
+    if (spec != null && (spec.getIsPrimitiveType() || spec.getIsLong())) {
       transferPrimitiveData(spec, testOutput);
     } else {
       inferDataType(param, null, testOutput);
diff --git a/specs/common/schemas/Rule.yml b/specs/common/schemas/Rule.yml
index b395f4393f4..0bd90d27a0c 100644
--- a/specs/common/schemas/Rule.yml
+++ b/specs/common/schemas/Rule.yml
@@ -13,9 +13,11 @@ timeRange:
   properties:
     from:
       type: integer
+      format: int64
       description: When the rule should start to be active, in Unix epoch time.
     until:
       type: integer
+      format: int64
       description: When the rule should stop to be active, in Unix epoch time.
   required:
     - from
diff --git a/specs/recommend/common/responses/common.yml b/specs/recommend/common/responses/common.yml
index 35d4d3ce599..f706bab2549 100644
--- a/specs/recommend/common/responses/common.yml
+++ b/specs/recommend/common/responses/common.yml
@@ -1,17 +1,3 @@
-taskID:
-  type: integer
-  format: int64
-  example: 1514562690001
-  description: |
-    Unique identifier of a task.
-
-    A successful API response means that a task was added to a queue. It might not run immediately. You can check the task's progress with the [`task` operation](#tag/Indices/operation/getTask) and this `taskID`.
-
-updatedAt:
-  type: string
-  example: 2023-07-04T12:49:15Z
-  description: Date and time when the object was updated, in RFC 3339 format.
-
 recommendUpdatedAtResponse:
   type: object
   description: Response, taskID, and update timestamp.
@@ -21,6 +7,6 @@ recommendUpdatedAtResponse:
     - updatedAt
   properties:
     taskID:
-      $ref: '#/taskID'
+      $ref: '../../../common/responses/common.yml#/taskID'
     updatedAt:
-      $ref: '#/updatedAt'
+      $ref: '../../../common/responses/common.yml#/updatedAt'
diff --git a/specs/recommend/common/schemas/RecommendRule.yml b/specs/recommend/common/schemas/RecommendRule.yml
index 7d725031d99..1de846c817b 100644
--- a/specs/recommend/common/schemas/RecommendRule.yml
+++ b/specs/recommend/common/schemas/RecommendRule.yml
@@ -9,7 +9,7 @@ RecommendRule:
       description: Rule metadata.
       properties:
         lastUpdate:
-          $ref: '../responses/common.yml#/updatedAt'
+          $ref: '../../../common/responses/common.yml#/updatedAt'
     objectID:
       $ref: '../../../common/parameters.yml#/ruleID'
     condition:
diff --git a/specs/search/paths/rules/common/schemas.yml b/specs/search/paths/rules/common/schemas.yml
index 88d2229398a..1bada84b2b2 100644
--- a/specs/search/paths/rules/common/schemas.yml
+++ b/specs/search/paths/rules/common/schemas.yml
@@ -30,7 +30,7 @@ rule:
       type: array
       description: Time periods when the rule is active.
       items:
-        $ref: '#/timeRange'
+        $ref: '../../../../common/schemas/Rule.yml#/timeRange'
   required:
     - objectID
 
@@ -289,20 +289,6 @@ automaticFacetFilter:
   required:
     - facet
 
-timeRange:
-  type: object
-  additionalProperties: false
-  properties:
-    from:
-      type: integer
-      description: When the rule should start to be active, in Unix epoch time.
-    until:
-      type: integer
-      description: When the rule should stop to be active, in Unix epoch time.
-  required:
-    - from
-    - until
-
 updatedRuleResponse:
   type: object
   additionalProperties: false