feat(chat): migrate chat protocol to lock detail

src/app/chat/components/message-content.tsx

@@ -17,8 +17,8 @@ export interface MessageContentProps {
   imageUrl?: string | null;
   imagePaywalled?: boolean;
   isFromAI: boolean;
-  privateLocked?: boolean | null;
-  privateHint?: string | null;
+  lockedPrivate?: boolean | null;
+  privateMessageHint?: string | null;
   isUnlockingPrivate?: boolean;
   onUnlockPrivateMessage?: (messageId: string) => void;
   onUnlockImagePaywall?: () => void;
@@ -32,15 +32,15 @@ export function MessageContent({
   imageUrl,
   imagePaywalled,
   isFromAI,
-  privateLocked,
-  privateHint,
+  lockedPrivate,
+  privateMessageHint,
   isUnlockingPrivate = false,
   onUnlockPrivateMessage,
   onUnlockImagePaywall,
 }: MessageContentProps) {
   const hasImage = imageUrl != null && imageUrl.length > 0;
   const hasText = content.length > 0 && content !== IMAGE_PLACEHOLDER;
-  const isLockedPrivateMessage = privateLocked === true;
+  const isLockedPrivateMessage = lockedPrivate === true;
 
   return (
     <div
@@ -57,7 +57,7 @@ export function MessageContent({
     >
       {isLockedPrivateMessage ? (
         <PrivateMessageCard
-          hint={privateHint}
+          hint={privateMessageHint}
           isUnlocking={isUnlockingPrivate}
           onUnlock={
             messageId