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",
+  },
+};