fix(ci): register kimchi in provider doc + add-model dropdown registries

code-quality failed on check_provider_folders_documented because every
openai_like provider needs an entry in provider_endpoints_support.json,
and proxy-endpoints failed on the Add Model dropdown drift test that
requires a provider_create_fields.json entry instead of growing the
frozen unlisted set. Adds both entries with chat completions only,
matching what the Kimchi gateway exposes today.

litellm/proxy/public_endpoints/provider_create_fields.json

@@ -488,7 +488,7 @@
         "key": "api_base",
         "label": "Upstream API Base",
         "placeholder": "https://api.anthropic.com",
-        "tooltip": "Optional. Where the proxy forwards requests upstream. Leave blank to use Anthropic's public API. Set this only for private Anthropic deployments or reverse proxies. Do NOT set this to your LiteLLM proxy URL — that causes a recursive loop.",
+        "tooltip": "Optional. Where the proxy forwards requests upstream. Leave blank to use Anthropic's public API. Set this only for private Anthropic deployments or reverse proxies. Do NOT set this to your LiteLLM proxy URL \u2014 that causes a recursive loop.",
         "required": false,
         "field_type": "text",
         "options": null,
@@ -2455,7 +2455,10 @@
         "tooltip": "jwt_bearer_obo: on-behalf-of with the JWT bearer grant (Microsoft Entra). rfc8693: standard OAuth 2.0 token exchange.",
         "required": false,
         "field_type": "select",
-        "options": ["jwt_bearer_obo", "rfc8693"],
+        "options": [
+          "jwt_bearer_obo",
+          "rfc8693"
+        ],
         "default_value": "jwt_bearer_obo"
       },
       {
@@ -4424,5 +4427,33 @@
       }
     ],
     "default_model_placeholder": "bigmodel/glm-5.3"
+  },
+  {
+    "provider": "Kimchi",
+    "provider_display_name": "Kimchi",
+    "litellm_provider": "kimchi",
+    "credential_fields": [
+      {
+        "key": "api_key",
+        "label": "Kimchi API Key",
+        "placeholder": null,
+        "tooltip": null,
+        "required": true,
+        "field_type": "password",
+        "options": null,
+        "default_value": null
+      },
+      {
+        "key": "api_base",
+        "label": "API Base",
+        "placeholder": "https://llm.kimchi.dev/openai/v1",
+        "tooltip": null,
+        "required": false,
+        "field_type": "text",
+        "options": null,
+        "default_value": null
+      }
+    ],
+    "default_model_placeholder": "kimchi/kimi-k3"
   }
 ]

provider_endpoints_support.json

@@ -2657,6 +2657,24 @@
         "generateContent": false
       }
     },
+    "kimchi": {
+      "display_name": "Kimchi (`kimchi`)",
+      "url": "https://docs.litellm.ai/docs/providers/kimchi",
+      "endpoints": {
+        "chat_completions": true,
+        "messages": false,
+        "responses": false,
+        "embeddings": false,
+        "image_generations": false,
+        "audio_transcriptions": false,
+        "audio_speech": false,
+        "moderations": false,
+        "batches": false,
+        "rerank": false,
+        "a2a": false,
+        "interactions": false
+      }
+    },
     "morph": {
       "display_name": "Morph (`morph`)",
       "url": "https://docs.litellm.ai/docs/providers/morph",