Vendor Chatwoot Vue 3 frontend into frontend/

Copy the Chatwoot (v4.14.0) frontend runnable subset into frontend/ for
customization:
- app/javascript/ (Vue SPA: dashboard, widget, sdk, portal, superadmin)
- app/views/ (ERB templates for vite-plugin-ruby entrypoint resolution)
- app/helpers/, app/assets/ (Rails view helpers, static assets)
- enterprise/ (Enterprise edition frontend overlay)
- config/vite.json, vite.config.ts, bin/vite (Vite-Rails toolchain)
- package.json, pnpm-lock.yaml, tailwind/postcss/eslint configs
- Gemfile, Gemfile.lock (vite_rails gem for bin/vite binstub)

Excluded Rails backend: controllers, models, services, jobs, mailers,
policies, db, lib, spec, public, node_modules.

Update references to the new frontend location:
- .gitignore: exclude frontend build artifacts (node_modules, tmp, packs),
  keep frontend/bin/ and frontend/vendor/ via negation
- backend/scripts/parity_frontend_smoke.sh: CHATWOOT_DIR default
  reference/chatwoot -> ../frontend
- backend/scripts/parity_frontend_browser_smoke.mjs: same default update
- AGENTS.md: add frontend section with Rails/Vite coupling notes
- README: architecture tree includes frontend/

frontend/app/javascript/dashboard/store/modules/conversationUnreadCounts.js

@@ -0,0 +1,70 @@
+import ConversationAPI from '../../api/conversations';
+import types from '../mutation-types';
+
+export const state = {
+  inboxes: {},
+  labels: {},
+  teams: {},
+};
+
+const normalizeCounts = counts => {
+  return Object.entries(counts || {}).reduce((result, [id, count]) => {
+    const parsedCount = Number(count);
+    if (Number.isFinite(parsedCount) && parsedCount > 0) {
+      result[String(id)] = parsedCount;
+    }
+
+    return result;
+  }, {});
+};
+
+export const getters = {
+  getInboxUnreadCount: $state => inboxId => {
+    return $state.inboxes[String(inboxId)] || 0;
+  },
+  getLabelUnreadCount: $state => labelId => {
+    return $state.labels[String(labelId)] || 0;
+  },
+  getTeamUnreadCount: $state => teamId => {
+    return $state.teams[String(teamId)] || 0;
+  },
+  getInboxUnreadCounts($state) {
+    return $state.inboxes;
+  },
+  getLabelUnreadCounts($state) {
+    return $state.labels;
+  },
+  getTeamUnreadCounts($state) {
+    return $state.teams;
+  },
+};
+
+export const actions = {
+  get: async function getUnreadCounts({ commit }) {
+    try {
+      const response = await ConversationAPI.getUnreadCounts();
+      commit(types.SET_CONVERSATION_UNREAD_COUNTS, response.data.payload);
+    } catch (error) {
+      // Ignore errors so the sidebar can continue rendering without badges.
+    }
+  },
+  clear({ commit }) {
+    commit(types.SET_CONVERSATION_UNREAD_COUNTS, {});
+  },
+};
+
+export const mutations = {
+  [types.SET_CONVERSATION_UNREAD_COUNTS]($state, payload = {}) {
+    $state.inboxes = normalizeCounts(payload.inboxes);
+    $state.labels = normalizeCounts(payload.labels);
+    $state.teams = normalizeCounts(payload.teams);
+  },
+};
+
+export default {
+  namespaced: true,
+  state,
+  getters,
+  actions,
+  mutations,
+};