Add Linux/Mac clang-tidy builds to .ci.yaml (flutter/engine#31477)

engine/src/flutter/.ci.yaml

@@ -195,6 +195,14 @@ targets:
     timeout: 60
     scheduler: luci
 
+  - name: Linux clang-tidy
+    recipe: engine/engine_lint
+    bringup: true
+    properties:
+      add_recipes_cq: "true"
+    timeout: 60
+    scheduler: luci
+
   - name: Linux Arm Host Engine
     recipe: engine/engine_arm
     properties:
@@ -270,6 +278,15 @@ targets:
     timeout: 75
     scheduler: luci
 
+  - name: Mac clang-tidy
+    recipe: engine/engine_lint
+    bringup: true
+    properties:
+      add_recipes_cq: "true"
+      jazzy_version: 0.9.5
+    timeout: 75
+    scheduler: luci
+
   - name: Mac iOS Engine
     recipe: engine/engine
     properties: