Initial commit: EGBE chatbot template

Stripped from vercel/chatbot (Apache 2.0):
- Dropped @vercel/* packages and AI Gateway
- Removed artifacts feature (code/text/sheet/image side panel)
- Switched AI provider to @ai-sdk/openai-compatible -> EGBE LiteLLM
- Replaced Vercel Blob upload with data URLs
- Dropped Redis resumable streams and rate limiter (in-memory now)
- Added Dockerfile (Next.js standalone) + entrypoint that runs migrations
- Wired DATABASE_URL, EGBE_AI_API_URL/KEY, NEXT_PUBLIC_BASE_URL for app-deploy.sh

lib/ai/prompts.ts

@@ -0,0 +1,37 @@
+export const regularPrompt = `You are a helpful assistant. Keep responses concise and direct.
+
+When asked to write, create, or build something, do it immediately. Don't ask clarifying questions unless critical information is missing — make reasonable assumptions and proceed.`;
+
+export type RequestHints = {
+  city?: string;
+  country?: string;
+};
+
+export const getRequestPromptFromHints = (requestHints: RequestHints) => `\
+About the origin of user's request:
+- city: ${requestHints.city ?? "unknown"}
+- country: ${requestHints.country ?? "unknown"}
+`;
+
+export const systemPrompt = ({
+  requestHints,
+  supportsTools: _supportsTools,
+}: {
+  requestHints: RequestHints;
+  supportsTools: boolean;
+}) => {
+  const requestPrompt = getRequestPromptFromHints(requestHints);
+  return `${regularPrompt}\n\n${requestPrompt}`;
+};
+
+export const titlePrompt = `Generate a short chat title (2-5 words) summarizing the user's message.
+
+Output ONLY the title text. No prefixes, no formatting.
+
+Examples:
+- "what's the weather in nyc" → Weather in NYC
+- "help me write an essay about space" → Space Essay Help
+- "hi" → New Conversation
+- "debug my python code" → Python Debugging
+
+Never output hashtags, prefixes like "Title:", or quotes.`;