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/ServerInfoContent/ServerInfoContent.tsx

@@ -7,21 +7,18 @@ import {
   Text,
   Title,
 } from "@mantine/core";
-import { CapabilityItem } from "../../elements/CapabilityItem/CapabilityItem";
-
-export interface CapabilityInfo {
-  name: string;
-  supported: boolean;
-  count?: number;
-}
+import {
+  CapabilityItem,
+  type CapabilityItemProps,
+} from "../../elements/CapabilityItem/CapabilityItem";
 
 export interface ServerInfoContentProps {
   name: string;
   version: string;
   protocolVersion: string;
   transport: string;
-  serverCapabilities: CapabilityInfo[];
-  clientCapabilities: CapabilityInfo[];
+  serverCapabilities: CapabilityItemProps[];
+  clientCapabilities: CapabilityItemProps[];
   instructions?: string;
   oauthDetails?: { authUrl?: string; scopes?: string[]; accessToken?: string };
 }
@@ -68,8 +65,8 @@ export function ServerInfoContent({
           <Title order={5}>Server Capabilities</Title>
           {serverCapabilities.map((cap) => (
             <CapabilityItem
-              key={cap.name}
-              name={cap.name}
+              key={cap.capability}
+              capability={cap.capability}
               supported={cap.supported}
               count={cap.count}
             />
@@ -79,8 +76,8 @@ export function ServerInfoContent({
           <Title order={5}>Client Capabilities</Title>
           {clientCapabilities.map((cap) => (
             <CapabilityItem
-              key={cap.name}
-              name={cap.name}
+              key={cap.capability}
+              capability={cap.capability}
               supported={cap.supported}
               count={cap.count}
             />