Rename "Integrating skills" guide to "Adding skills support"

Addresses reviewer feedback that "Integrating" could be misread as
integrating skills into a workflow rather than into a client. Renames
`integrating-skills.mdx` to `adding-skills-support.mdx` and updates all
references in `docs.json`, `home.mdx`, and `what-are-skills.mdx`.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

docs/client-implementation/adding-skills-support.mdx

@@ -1,6 +1,6 @@
 ---
-title: "How to integrate skills into your agent"
-sidebarTitle: "Integrating skills"
+title: "How to add skills support to your agent"
+sidebarTitle: "Adding skills support"
 description: "A guide for adding Agent Skills support to an AI agent or development tool."
 ---
 

docs/docs.json

@@ -28,7 +28,7 @@
       {
         "group": "For client implementors",
         "pages": [
-          "client-implementation/integrating-skills"
+          "client-implementation/adding-skills-support"
         ]
       }
     ]
@@ -48,7 +48,7 @@
   "redirects": [
     {
       "source": "/integrate-skills",
-      "destination": "/client-implementation/integrating-skills"
+      "destination": "/client-implementation/adding-skills-support"
     }
   ]
 }

docs/home.mdx

@@ -54,9 +54,9 @@ The Agent Skills format was originally developed by [Anthropic](https://www.anth
     The complete format specification for SKILL.md files.
   </Card>
   <Card
-    title="Integrate skills"
+    title="Add skills support"
     icon="gear"
-    href="/client-implementation/integrating-skills"
+    href="/client-implementation/adding-skills-support"
   >
     Add skills support to your agent or tool.
   </Card>

docs/what-are-skills.mdx

@@ -65,7 +65,7 @@ This simple format has some key advantages:
 ## Next steps
 
 - [View the specification](/specification) to understand the full format.
-- [Add skills support to your agent](/client-implementation/integrating-skills) to build a compatible client.
+- [Add skills support to your agent](/client-implementation/adding-skills-support) to build a compatible client.
 - [See example skills](https://github.com/anthropics/skills) on GitHub.
 - [Read authoring best practices](https://platform.claude.com/docs/en/agents-and-tools/agent-skills/best-practices) for writing effective skills.
 - [Use the reference library](https://github.com/agentskills/agentskills/tree/main/skills-ref) to validate skills and generate prompt XML.