docs: add app.nz OpenAI-compatible example to LLM connections

[lee101]

What

Adds app.nz examples to the "Connecting to OpenAI-Compatible LLMs" section.

Why

app.nz is a hosted OpenAI-compatible gateway (https://app.nz/v1) with an app/auto auto-router. It works through CrewAI's existing LiteLLM base_url + api_key path, so it fits the existing OpenAI-compatible examples.

Changes

• docs/edge/en/learn/llm-connections.mdx: app.nz tab added to both the environment-variable and LLM(...) class-attribute CodeGroups, mirroring the existing Gemini example. Model openai/app/auto.

Docs-only.

Note: this PR was prepared with AI assistance and carries the llm-generated label per CONTRIBUTING.md.

Summary by CodeRabbit

• Documentation
  • Updated the OpenAI-compatible LLM setup guide with new App.nz gateway examples.
  • Added environment variable examples for OPENAI_API_KEY, OPENAI_API_BASE, and OPENAI_MODEL_NAME, including auto-routing support.
  • Added an LLM(...) example showing how to connect through App.nz using a custom base URL and API key.

[coderabbitai]

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ℹ️ Recent review info

⚙️ Run configuration

Configuration used: Organization UI

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Run ID: 4d2060b2-c576-4bcf-9dc0-767b2aa16b54

📥 Commits

Reviewing files that changed from the base of the PR and between 6491f5a and aef2049.

📒 Files selected for processing (1)

• docs/edge/en/learn/llm-connections.mdx

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📝 Walkthrough

Walkthrough

Two code examples for App.nz's OpenAI-compatible gateway are added to docs/edge/en/learn/llm-connections.mdx: one showing environment variable configuration (OPENAI_API_KEY, OPENAI_API_BASE, OPENAI_MODEL_NAME) and one showing equivalent LLM(...) class attributes with model="openai/app/auto" and base_url="https://app.nz/v1".

Changes

App.nz Gateway Documentation

Layer / File(s)	Summary
App.nz env-var and LLM class examples docs/edge/en/learn/llm-connections.mdx	Adds an environment-variable snippet and an LLM(...) snippet demonstrating App.nz gateway configuration, including the openai/app/auto auto-router model.

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title clearly summarizes the docs change adding an App.nz OpenAI-compatible example to LLM connections.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

✨ Finishing Touches

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