Polish off all our gross edges around frontend/backend Public name management

frontend/src/components/ChatHeader.tsx

@@ -6,6 +6,7 @@ import { ContactPathDiscoveryModal } from './ContactPathDiscoveryModal';
 import { ChannelFloodScopeOverrideModal } from './ChannelFloodScopeOverrideModal';
 import { isFavorite } from '../utils/favorites';
 import { handleKeyboardActivate } from '../utils/a11y';
+import { isPublicChannelKey } from '../utils/publicChannel';
 import { stripRegionScopePrefix } from '../utils/regionScope';
 import { isPrefixOnlyContact } from '../utils/pubkey';
 import { ContactAvatar } from './ContactAvatar';
@@ -379,7 +380,7 @@ export function ChatHeader({
             )}
           </button>
         )}
-        {!(conversation.type === 'channel' && conversation.name === 'Public') && (
+        {!(conversation.type === 'channel' && isPublicChannelKey(conversation.id)) && (
           <button
             className="p-1 rounded hover:bg-destructive/10 text-muted-foreground hover:text-destructive text-lg leading-none transition-colors focus-visible:outline-none focus-visible:ring-2 focus-visible:ring-ring"
             onClick={() => {

frontend/src/components/ContactInfoPane.tsx

@@ -16,6 +16,7 @@ import {
   hasRoutingOverride,
   parsePathHops,
 } from '../utils/pathUtils';
+import { isPublicChannelKey } from '../utils/publicChannel';
 import { getMapFocusHash } from '../utils/urlHash';
 import { isFavorite } from '../utils/favorites';
 import { handleKeyboardActivate } from '../utils/a11y';
@@ -611,7 +612,7 @@ function MostActiveRoomsSection({
               onKeyDown={onNavigateToChannel ? handleKeyboardActivate : undefined}
               onClick={() => onNavigateToChannel?.(room.channel_key)}
             >
-              {room.channel_name.startsWith('#') || room.channel_name === 'Public'
+              {room.channel_name.startsWith('#') || isPublicChannelKey(room.channel_key)
                 ? room.channel_name
                 : `#${room.channel_name}`}
             </span>

frontend/src/components/Sidebar.tsx

@@ -30,6 +30,7 @@ import {
   type SidebarSortableSection,
   type SortOrder,
 } from '../utils/conversationState';
+import { isPublicChannelKey } from '../utils/publicChannel';
 import { getContactDisplayName } from '../utils/pubkey';
 import { handleKeyboardActivate } from '../utils/a11y';
 import { ContactAvatar } from './ContactAvatar';
@@ -254,8 +255,8 @@ export function Sidebar({
     () =>
       [...uniqueChannels].sort((a, b) => {
         // Public channel always sorts to the top
-        if (a.name === 'Public') return -1;
-        if (b.name === 'Public') return 1;
+        if (isPublicChannelKey(a.key)) return -1;
+        if (isPublicChannelKey(b.key)) return 1;
 
         if (sectionSortOrders.channels === 'recent') {
           const timeA = getLastMessageTime('channel', a.key);