feat(everything): add SEP-1686 Tasks support

- Add tasks capability with list, cancel, and requests.tools.call
- Add InMemoryTaskStore and InMemoryTaskMessageQueue from SDK experimental
- Add simulate-research-query tool demonstrating task lifecycle
- Task demonstrates working -> input_required -> completed status flow
- Uses elicitation for ambiguous queries when client supports it

Closes #3037

🦉 Generated with [Claude Code](https://claude.ai/code)

src/everything/tools/index.ts

@@ -14,6 +14,7 @@ import { registerToggleSubscriberUpdatesTool } from "./toggle-subscriber-updates
 import { registerTriggerElicitationRequestTool } from "./trigger-elicitation-request.js";
 import { registerTriggerLongRunningOperationTool } from "./trigger-long-running-operation.js";
 import { registerTriggerSamplingRequestTool } from "./trigger-sampling-request.js";
+import { registerSimulateResearchQueryTool } from "./simulate-research-query.js";
 
 /**
  * Register the tools with the MCP server.
@@ -42,4 +43,6 @@ export const registerConditionalTools = (server: McpServer) => {
   registerGetRootsListTool(server);
   registerTriggerElicitationRequestTool(server);
   registerTriggerSamplingRequestTool(server);
+  // Task-based research tool (uses experimental tasks API)
+  registerSimulateResearchQueryTool(server);
 };