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

app/(auth)/register/page.tsx

@@ -0,0 +1,66 @@
+"use client";
+
+import Link from "next/link";
+import { useRouter } from "next/navigation";
+import { useSession } from "next-auth/react";
+import { useActionState, useEffect, useState } from "react";
+import { AuthForm } from "@/components/chat/auth-form";
+import { SubmitButton } from "@/components/chat/submit-button";
+import { toast } from "@/components/chat/toast";
+import { type RegisterActionState, register } from "../actions";
+
+export default function Page() {
+  const router = useRouter();
+  const [email, setEmail] = useState("");
+  const [isSuccessful, setIsSuccessful] = useState(false);
+
+  const [state, formAction] = useActionState<RegisterActionState, FormData>(
+    register,
+    { status: "idle" }
+  );
+
+  const { update: updateSession } = useSession();
+
+  // biome-ignore lint/correctness/useExhaustiveDependencies: router and updateSession are stable refs
+  useEffect(() => {
+    if (state.status === "user_exists") {
+      toast({ type: "error", description: "Account already exists!" });
+    } else if (state.status === "failed") {
+      toast({ type: "error", description: "Failed to create account!" });
+    } else if (state.status === "invalid_data") {
+      toast({
+        type: "error",
+        description: "Failed validating your submission!",
+      });
+    } else if (state.status === "success") {
+      toast({ type: "success", description: "Account created!" });
+      setIsSuccessful(true);
+      updateSession();
+      router.refresh();
+    }
+  }, [state.status]);
+
+  const handleSubmit = (formData: FormData) => {
+    setEmail(formData.get("email") as string);
+    formAction(formData);
+  };
+
+  return (
+    <>
+      <h1 className="text-2xl font-semibold tracking-tight">Create account</h1>
+      <p className="text-sm text-muted-foreground">Get started for free</p>
+      <AuthForm action={handleSubmit} defaultEmail={email}>
+        <SubmitButton isSuccessful={isSuccessful}>Sign up</SubmitButton>
+        <p className="text-center text-[13px] text-muted-foreground">
+          {"Have an account? "}
+          <Link
+            className="text-foreground underline-offset-4 hover:underline"
+            href="/login"
+          >
+            Sign in
+          </Link>
+        </p>
+      </AuthForm>
+    </>
+  );
+}