[Feature Request] Make MCP tool timeouts configurable in Claude Desktop

Environment

• Platform (select one):
• [ ] Anthropic API
• [ ] AWS Bedrock
• [ ] Google Vertex AI
• [x] Other: Claude Desktop

• Operating System: macOS Sequoia 15.5

Bug Description

MCP tool timeouts should be configurable (see https://github.com/anthropics/claude-code/issues/424#issuecomment-2877535598). Like Claude Code, Claude Desktop would greatly benefit from honoring MCP_TIMEOUT and MCP_TOOL_TIMEOUT in its configuration.

As it stands, long-running operations frequently fail with one of the following errors:
• Error executing code: MCP error -32000: Connection closed
• No result received from client-side tool execution.