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/ServerCard/ServerCard.stories.tsx

@@ -66,7 +66,7 @@ export const Failed: Story = {
     transport: "stdio",
     connectionMode: "Subprocess",
     command: "npx -y @modelcontextprotocol/server-everything",
-    status: "failed",
+    status: "error",
     retryCount: 3,
     error: {
       message: "Connection refused",
@@ -106,7 +106,7 @@ export const HttpDirect: Story = {
   args: {
     name: "Remote API Server",
     version: "2.0.0",
-    transport: "http",
+    transport: "streamable-http",
     connectionMode: "Direct",
     command: "https://api.example.com/mcp",
     status: "connected",

clients/web/src/components/groups/ServerCard/ServerCard.tsx

@@ -9,10 +9,10 @@ import { InlineError } from "../../elements/InlineError/InlineError";
 export interface ServerCardProps {
   name: string;
   version?: string;
-  transport: "stdio" | "http";
+  transport: "stdio" | "sse" | "streamable-http";
   connectionMode: string;
   command: string;
-  status: "connected" | "connecting" | "disconnected" | "failed";
+  status: "connected" | "connecting" | "disconnected" | "error";
   retryCount?: number;
   error?: { message: string; details?: string };
   canTestClientFeatures: boolean;
@@ -90,8 +90,6 @@ export function ServerCard({
 }: ServerCardProps) {
   const isThisConnecting = activeServer === name;
   const isDimmed = activeServer !== undefined && activeServer !== name;
-  const isConnected = status === "connected";
-  const isConnecting = status === "connecting" || isThisConnecting;
   const displayStatus = isThisConnecting ? "connecting" : status;
 
   useEffect(() => {
@@ -128,10 +126,10 @@ export function ServerCard({
               retryCount={retryCount}
             />
             <ConnectionToggle
-              checked={isConnected}
-              loading={isConnecting}
+              status={displayStatus}
               disabled={isDimmed}
-              onChange={handleToggle}
+              onConnect={() => handleToggle(true)}
+              onDisconnect={() => handleToggle(false)}
             />
           </HeaderRight>
         </Group>
@@ -166,12 +164,14 @@ export function ServerCard({
               )}
             </Group>
 
-            <ContentViewer type="text" content={command} copyable />
+            <ContentViewer block={{ type: "text", text: command }} copyable />
 
             {error && (
               <InlineError
-                message={error.message}
-                details={error.details}
+                error={{
+                  message: error.message,
+                  data: error.details,
+                }}
                 retryCount={retryCount}
               />
             )}