[Feature Request] Support per-instance effort level configuration for multiple terminal sessions

Bug Description
allow multiple instances in terminal to have separate effort levels

Environment Info

• Platform: linux
• Terminal: vscode
• Version: 2.1.111
• Feedback ID: c271f210-35cc-4f7a-a52b-ab6eced02a4e

Errors

[{"error":"Error: Claude Code web sessions require authentication with a Claude.ai account. API key authentication is not sufficient. Please run /login to authenticate, or check your authentication status with /status.\n    at TX (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:2890:1356)\n    at bqY (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:3346:14424)\n    at y$K (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:3346:15059)\n    at DhY (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:5714:14217)\n    at ZhY (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:5714:14294)\n    at V2 (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:551:26080)\n    at Object.useState (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:551:104664)\n    at ay_.useState (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:541:9368)\n    at an8 (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:5714:14249)\n    at idK (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:6519:25752)","timestamp":"2026-04-17T05:03:04.098Z"},{"error":"Error: Claude Code web sessions require authentication with a Claude.ai account. API key authentication is not sufficient. Please run /login to authenticate, or check your authentication status with /status.\n    at TX (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:2890:1356)\n    at bqY (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:3346:14424)\n    at y$K (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:3346:15059)\n    at DhY (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:5714:14217)\n    at ZhY (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:5714:14294)\n    at V2 (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:551:26080)\n    at Object.useState (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:551:104664)\n    at ay_.useState (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:541:9368)\n    at an8 (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:5714:14249)\n    at UdK (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:6519:17952)","timestamp":"2026-04-17T05:03:04.099Z"},{"error":"Error: Request was aborted.\n    at qh.makeRequest (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:47:3448)\n    at process.processTicksAndRejections (node:internal/process/task_queues:105:5)","timestamp":"2026-04-17T05:16:21.136Z"},{"error":"Error: Request was aborted.\n    at qh.makeRequest (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:47:3448)\n    at process.processTicksAndRejections (node:internal/process/task_queues:105:5)","timestamp":"2026-04-17T05:16:42.196Z"},{"error":"Error: Request was aborted.\n    at qh.makeRequest (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:47:3448)\n    at process.processTicksAndRejections (node:internal/process/task_queues:105:5)","timestamp":"2026-04-17T05:16:46.318Z"},{"error":"Error: Request was aborted.\n    at qh.makeRequest (file:///home/krishna/.nvm/versions/node/v22.22.0/lib/node_modules/@anthropic-ai/claude-code/cli.js:47:3448)\n    at process.processTicksAndRejections (node:internal/process/task_queues:105:5)","timestamp":"2026-04-17T05:16:51.408Z"}]