Phase 1: Refactor all 16 element component interfaces to use MCP SDK types

Replace ad-hoc local type definitions in element components with real
MCP SDK types and Inspector wrapper types from core/mcp/types.ts:

Schema-typed primitives:
- LogLevelBadge: LogLevel → LoggingLevel (SDK)
- TransportBadge: "stdio"|"http" → ServerType (core), add sse/streamable-http
- TaskStatusBadge: local TaskStatus → SDK TaskStatus (working/input_required/...)
- ServerStatusIndicator: inline union → ConnectionStatus (core), "failed"→"error"

MCP wrapper consumers:
- AnnotationBadge: label+variant → facet+value with SDK Role type
- CapabilityItem: name:string → capability:keyof ServerCapabilities|ClientCapabilities
- LogEntry: flat props → entry:{receivedAt:Date, params:LoggingMessageNotification["params"]}
- MessageBubble: flat props → message:SamplingMessage|PromptMessage
- ProgressDisplay: flat props → params:ProgressNotification["params"]

Composite-input elements:
- ContentViewer: type+content+mimeType → block:ContentBlock (SDK discriminated union)
- InlineError: message+details → error:{message,data?}
- ConnectionToggle: checked+loading+onChange → status:ConnectionStatus+onConnect/onDisconnect

Also updates all group/screen/view consumers to keep the build green,
and renames CSS variable --inspector-status-failed → --inspector-status-error.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

clients/web/src/components/groups/PromptMessagesDisplay/PromptMessagesDisplay.stories.tsx

@@ -16,7 +16,10 @@ export const SingleMessage: Story = {
     messages: [
       {
         role: "user",
-        content: "What is the capital of France?",
+        content: {
+          type: "text",
+          text: "What is the capital of France?",
+        },
       },
     ],
   },
@@ -28,12 +31,17 @@ export const Conversation: Story = {
     messages: [
       {
         role: "user",
-        content: "What is the capital of France?",
+        content: {
+          type: "text",
+          text: "What is the capital of France?",
+        },
       },
       {
         role: "assistant",
-        content:
-          "The capital of France is Paris. It is the largest city in France and serves as the country's political, economic, and cultural center.",
+        content: {
+          type: "text",
+          text: "The capital of France is Paris. It is the largest city in France and serves as the country's political, economic, and cultural center.",
+        },
       },
     ],
   },
@@ -44,11 +52,17 @@ export const WithImage: Story = {
     messages: [
       {
         role: "user",
-        content: "Here is a photo for you to analyze.",
-        imageContent: {
-          data: "iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+M9QDwADhgGAWjR9awAAAABJRU5ErkJggg==",
-          mimeType: "image/png",
-        },
+        content: [
+          {
+            type: "text",
+            text: "Here is a photo for you to analyze.",
+          },
+          {
+            type: "image",
+            data: "iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+M9QDwADhgGAWjR9awAAAABJRU5ErkJggg==",
+            mimeType: "image/png",
+          },
+        ],
       },
     ],
   },
@@ -60,25 +74,38 @@ export const LongConversation: Story = {
     messages: [
       {
         role: "user",
-        content: "Can you help me write a haiku about programming?",
+        content: {
+          type: "text",
+          text: "Can you help me write a haiku about programming?",
+        },
       },
       {
         role: "assistant",
-        content:
-          "Sure! Here is a haiku about programming:\n\nSilent keys tap fast\nLogic flows through glowing screens\nBugs hide in the code",
+        content: {
+          type: "text",
+          text: "Sure! Here is a haiku about programming:\n\nSilent keys tap fast\nLogic flows through glowing screens\nBugs hide in the code",
+        },
       },
       {
         role: "user",
-        content: "That is great! Can you write another one about debugging?",
+        content: {
+          type: "text",
+          text: "That is great! Can you write another one about debugging?",
+        },
       },
       {
         role: "assistant",
-        content:
-          "Here is a debugging haiku:\n\nStack trace lines scroll down\nOne missing semicolon\nHours lost to a typo",
+        content: {
+          type: "text",
+          text: "Here is a debugging haiku:\n\nStack trace lines scroll down\nOne missing semicolon\nHours lost to a typo",
+        },
       },
       {
         role: "user",
-        content: "I love it! One more about open source?",
+        content: {
+          type: "text",
+          text: "I love it! One more about open source?",
+        },
       },
     ],
   },