feat(solutions): add Auxen dedicated LLM chatbot

[ai-auxen]

Adds an `Auxen Dedicated LLM Chatbot` template to `solutions/`.

Auxen hosts per-customer dedicated LLM endpoints (Llama, Qwen, Mistral, Gemma, Mixtral, Phi, Command R) on stable HTTPS URLs with an OpenAI-compatible `/v1/chat/completions` API. Each instance is a dedicated GPU billed per-minute of runtime, not per-token.

What's in the template

• Next.js 15 (App Router) chat UI
• Edge-runtime route handler at `/api/chat` that streams SSE from the user's Auxen instance
• ~100 LOC, zero external LLM SDK dependencies — survives upstream version churn
• Tailwind for styling, dark theme by default
• Frontmatter wired for vercel.com/templates catalog
• Vercel deploy button with `AUXEN_API_BASE` + `AUXEN_API_KEY` env-var prompts

Canonical source

The template mirrors auxen-ai/auxen-nextjs-starter, a public GitHub template repo. The Vercel deploy button points back at that repo so cloning happens against the canonical source.

Demo note

Because Auxen instances are per-customer (the API base URL is unique per instance), there isn't a single shared `demoUrl` I can point at. The `demoUrl` field links to auxen.ai where users provision their own instance. Happy to coordinate a maintainer-side demo deployment with pre-provisioned credentials if that would help.

Companion PRs (Auxen distribution series)

• npm: `@auxen/ai-sdk-provider` (live)
• vercel/ai#15536 — Vercel AI SDK community provider
• BerriAI/litellm#28532 — LiteLLM provider

AI agent (Claude) assisted in drafting this PR.

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[socket-security]

Review the following changes in direct dependencies. Learn more about Socket for GitHub.

Diff	Package	Supply Chain Security	Vulnerability	Quality	Maintenance	License
	npm/​next@​15.5.18
	npm/​@​types/​node@​22.19.19

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