Phase 2: Refactor Logs cluster to MCP SDK types

Replace string-typed log levels with SDK LoggingLevel across the Logs
group components and LoggingScreen.

- LogControls: type currentLevel, visibleLevels, and all handlers with
  LoggingLevel instead of string; type LOG_LEVELS array and LEVEL_COLORS
  record with LoggingLevel
- LogStreamPanel: type visibleLevels as Record<LoggingLevel, boolean>
  instead of Record<string, boolean>
- LoggingScreen: type currentLevel, onSetLevel, visibleLevels state,
  and toggle handlers with LoggingLevel; extract NO_LEVELS_VISIBLE as
  a module-level constant
- Stories already used LoggingLevel literals; updated type annotations
  to use Record<LoggingLevel, boolean>
- No ConnectedView story changes needed (already passes valid
  LoggingLevel values)

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

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

@@ -9,13 +9,14 @@ import {
   Text,
   Title,
 } from "@mantine/core";
+import type { LoggingLevel } from "@modelcontextprotocol/sdk/types.js";
 import { LogEntry } from "../../elements/LogEntry/LogEntry";
 import type { LogEntryData } from "../../elements/LogEntry/LogEntry";
 
 export interface LogStreamPanelProps {
   entries: LogEntryData[];
   filterText: string;
-  visibleLevels: Record<string, boolean>;
+  visibleLevels: Record<LoggingLevel, boolean>;
   autoScroll: boolean;
   onToggleAutoScroll: () => void;
   onCopyAll: () => void;
@@ -50,7 +51,7 @@ function formatData(data: unknown): string {
 function matchesFilters(
   entry: LogEntryData,
   filterText: string,
-  visibleLevels: Record<string, boolean>,
+  visibleLevels: Record<LoggingLevel, boolean>,
 ): boolean {
   if (!visibleLevels[entry.params.level]) return false;
   if (filterText) {