created frontend with login, room listing and creation, and message page with all features

src/pages/ChatPage.vue

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+<template>
+  <div class="chat-page">
+    <div class="messages-container" ref="messageListRef">
+      <MessageList :messages="messages" />
+    </div>
+
+    <div class="input-container">
+      <MessageInput @send="onSend" />
+    </div>
+  </div>
+</template>
+
+<script setup lang="ts">
+import { onMounted, ref, nextTick } from "vue";
+import { fetchMessages, sendMessage } from "../api/messages";
+import type { Message } from "../types/api";
+import MessageList from "../components/MessageList.vue";
+import MessageInput from "../components/MessageInput.vue";
+
+const props = defineProps<{ uuid: string }>();
+const messages = ref<Message[]>([]);
+
+async function load() {
+  messages.value = await fetchMessages(props.uuid);
+}
+
+async function onSend(content: string) {
+  const msg = await sendMessage(props.uuid, content);
+  messages.value.push(msg);
+  await nextTick();
+  scrollToBottom();
+}
+
+onMounted(async () => {
+  await load();
+  await nextTick();
+  scrollToBottom();
+});
+
+const messageListRef = ref<HTMLElement | null>(null);
+
+function scrollToBottom() {
+  if (messageListRef.value) {
+    messageListRef.value.scrollTop = messageListRef.value.scrollHeight;
+  }
+}
+</script>
+
+<style scoped>
+.chat-page {
+  display: flex;
+  flex-direction: column;
+  height: 100%;
+  max-width: 720px;
+  margin: 0 auto;
+  padding: 15px;
+  border: 1px solid var(--border);
+  border-radius: var(--radius);
+  background: var(--panel);
+  overflow: hidden;
+}
+
+.messages-container {
+  flex: 1;
+  padding: 1rem;
+  overflow-y: auto;
+  display: flex;
+  flex-direction: column;
+  gap: 0.5rem;
+  word-wrap: break-word;
+}
+
+.input-container {
+  padding: 0.5rem 1rem;
+  border-top: 1px solid var(--border);
+  background: var(--panel);
+}
+</style>