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/elements/ConnectionToggle/ConnectionToggle.stories.tsx

@@ -6,7 +6,8 @@ const meta: Meta<typeof ConnectionToggle> = {
   title: "Elements/ConnectionToggle",
   component: ConnectionToggle,
   args: {
-    onChange: fn(),
+    onConnect: fn(),
+    onDisconnect: fn(),
   },
 };
 
@@ -15,32 +16,31 @@ type Story = StoryObj<typeof ConnectionToggle>;
 
 export const Connected: Story = {
   args: {
-    checked: true,
-    loading: false,
-    disabled: false,
+    status: "connected",
   },
 };
 
 export const Disconnected: Story = {
   args: {
-    checked: false,
-    loading: false,
-    disabled: false,
+    status: "disconnected",
   },
 };
 
-export const Loading: Story = {
+export const Connecting: Story = {
   args: {
-    checked: false,
-    loading: true,
-    disabled: false,
+    status: "connecting",
   },
 };
 
 export const Disabled: Story = {
   args: {
-    checked: false,
-    loading: false,
+    status: "disconnected",
     disabled: true,
   },
 };
+
+export const Error: Story = {
+  args: {
+    status: "error",
+  },
+};

clients/web/src/components/elements/ConnectionToggle/ConnectionToggle.tsx

@@ -1,24 +1,34 @@
 import { Switch } from "@mantine/core";
+import type { ConnectionStatus } from "@inspector/core/mcp/types.js";
 
 export interface ConnectionToggleProps {
-  checked: boolean;
-  loading: boolean;
-  disabled: boolean;
-  onChange: (checked: boolean) => void;
+  status: ConnectionStatus;
+  disabled?: boolean;
+  onConnect: () => void;
+  onDisconnect: () => void;
 }
 
 export function ConnectionToggle({
-  checked,
-  loading,
-  disabled,
-  onChange,
+  status,
+  disabled = false,
+  onConnect,
+  onDisconnect,
 }: ConnectionToggleProps) {
+  const isConnected = status === "connected";
+  const isConnecting = status === "connecting";
+
   return (
     <Switch
       size="lg"
-      checked={checked || loading}
-      disabled={disabled || loading}
-      onChange={(event) => onChange(event.currentTarget.checked)}
+      checked={isConnected || isConnecting}
+      disabled={disabled || isConnecting}
+      onChange={(event) => {
+        if (event.currentTarget.checked) {
+          onConnect();
+        } else {
+          onDisconnect();
+        }
+      }}
     />
   );
 }