feat(coding-agent): add provider display names

closes #3956

packages/coding-agent/docs/custom-provider.md

@@ -41,6 +41,7 @@ export default function (pi: ExtensionAPI) {
 
   // Register new provider with models
   pi.registerProvider("my-provider", {
+    name: "My Provider",
     baseUrl: "https://api.example.com",
     apiKey: "MY_API_KEY",
     api: "openai-completions",
@@ -544,6 +545,9 @@ Run tests with your provider/model pairs to verify compatibility.
 
 ```typescript
 interface ProviderConfig {
+  /** Display name for the provider in UI such as /login. */
+  name?: string;
+
   /** API endpoint URL. Required when defining models. */
   baseUrl?: string;
 

packages/coding-agent/docs/extensions.md

@@ -1515,6 +1515,7 @@ If you need to discover models from a remote endpoint, prefer an async extension
 ```typescript
 // Register a new provider with custom models
 pi.registerProvider("my-proxy", {
+  name: "My Proxy",
   baseUrl: "https://proxy.example.com",
   apiKey: "PROXY_API_KEY",  // env var name or literal
   api: "anthropic-messages",
@@ -1561,6 +1562,7 @@ pi.registerProvider("corporate-ai", {
 ```
 
 **Config options:**
+- `name` - Display name for the provider in UI such as `/login`.
 - `baseUrl` - API endpoint URL. Required when defining models.
 - `apiKey` - API key or environment variable name. Required when defining models (unless `oauth` provided).
 - `api` - API type: `"anthropic-messages"`, `"openai-completions"`, `"openai-responses"`, etc.