docs: update nuc endpoint in quickstart example

docs/build/private-llms/usage.mdx

@@ -8,6 +8,96 @@ Once you have [nilAI API access](/build/network-api-access), you can start using
 ## Getting Started with Private LLMs
 
 <Tabs>
+    <TabItem value="nucs-flow" label="NUCS" >
+    ## Getting Started with Private LLMs
+
+    <Tabs>
+
+        <TabItem value="python" label="Python" default>
+            <Tabs>
+                <TabItem value="pip" label="pip" default>
+                    ```bash
+                    pip install nilai-py
+                    ```
+                </TabItem>
+                <TabItem value="uv" label="uv">
+                    ```bash
+                    uv pip install nilai-py
+                    ```
+                </TabItem>
+            </Tabs>
+        </TabItem>
+        <TabItem value="typescript" label="TypeScript">
+            ```bash
+            pnpm install @nillion/nilai-ts
+            ```
+        </TabItem>
+
+   </Tabs>
+
+    You can either use:
+    -  `API Key` flow as the sole developer / organization or
+    - `Delegation Flow` to provide permissions to another user / organization.
+
+    ### API Key Flow
+
+    1. Use `https://nilai-a779.nillion.network/nuc/v1` as the BASE URL
+    2. Check [available models](/build/private-llms/overview#available-models) or query the [`/v1/models`](/api/nilai/get-models-v-1-models-get) endpoint or
+    3. Select an available model and use it with the [`/v1/chat/completions`](/api/nilai/chat-completion-v-1-chat-completions-post) nilAI node endpoint
+
+    With OpenAI compatibility, you can use any OpenAI library. Here's an example for querying the `Llama-3.1-8B` model:
+
+    <Tabs>
+        <TabItem value="python" label="Python">
+            ```python reference showGithubLink
+            https://github.com/NillionNetwork/nilai-py/blob/main/examples/0-api_key_mode.py
+            ```
+        </TabItem>
+        <TabItem value="typescript" label="Typescript">
+            ```typescript
+            import "dotenv/config";
+            import { NilaiOpenAIClient, NilAuthInstance } from "@nillion/nilai-ts";
+
+            // To obtain an API key, navigate to https://subscription.nillion.com
+            // and create a new subscription.
+            // The API key will be displayed in the subscription details.
+            // The NilaiOpenAIClient class automatically handles the NUC token creation and management.
+
+            const API_KEY = process.env.NILLION_API_KEY;
+
+            async function main() {
+            // Initialize the client in API key mode
+            // For sandbox, use the following:
+            const client = new NilaiOpenAIClient({
+                baseURL: "https://nilai-a779.nillion.network/v1/",
+                apiKey: API_KEY,
+                nilauthInstance: NilAuthInstance.SANDBOX,
+                // For production, use the following:
+                // nilauthInstance: NilAuthInstance.PRODUCTION,
+            });
+
+            // Make a request to the Nilai API
+            const response = await client.chat.completions.create({
+                model: "google/gemma-3-27b-it",
+                messages: [
+                { role: "user", content: "Hello! Can you help me with something?" }
+                ],
+            });
+
+            console.log(`Response: ${response.choices[0].message.content}`);
+            }
+
+            // Run the example
+            main().catch(console.error);
+            ```
+        </TabItem>
+    </Tabs>
+
+    ### Delegation flow
+
+    To use the delegation flow, you need to create a delegation token server.
+
+    The server then creates the delegation tokens and managing their expiration and usage. Then the delegation token allows you to make requests to the nilAI API.
 
     <TabItem value="python" label="Python" default>
         <Tabs>