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/views/UnconnectedView/UnconnectedView.stories.tsx

@@ -92,7 +92,7 @@ export const WithServers: Story = {
           {
             name: "remote-server",
             version: "2.1.0",
-            transport: "http",
+            transport: "streamable-http",
             connectionMode: "Direct",
             command: "https://api.example.com/mcp",
             status: "disconnected",
@@ -219,7 +219,7 @@ export const ManyServers: Story = {
           {
             name: "remote-api-server",
             version: "2.1.0",
-            transport: "http",
+            transport: "streamable-http",
             connectionMode: "Direct",
             command: "https://api.example.com/mcp",
             status: "disconnected",
@@ -249,7 +249,7 @@ export const ManyServers: Story = {
           {
             name: "slack-server",
             version: "1.1.0",
-            transport: "http",
+            transport: "streamable-http",
             connectionMode: "Direct",
             command: "https://slack-mcp.example.com/mcp",
             status: "disconnected",
@@ -299,7 +299,7 @@ export const ManyServers: Story = {
           {
             name: "google-maps-server",
             version: "0.8.0",
-            transport: "http",
+            transport: "streamable-http",
             connectionMode: "Direct",
             command: "https://maps-mcp.example.com/mcp",
             status: "disconnected",