[Feature Request] Add web-to-CLI project context synchronization

Bug Description
I want to sync my projects context from the web to my claude code

Environment Info

• Platform: darwin
• Terminal: zed
• Version: 2.1.92
• Feedback ID: f324a3ce-3dc0-4a71-af16-95f40b8ddf46

Errors

[{"error":"Error: NON-FATAL: Lock acquisition failed for /Users/danielhurtado/.local/share/claude/versions/2.1.92 (expected in multi-process scenarios)\n    at im_ (/$bunfs/root/src/entrypoints/cli.js:1884:2153)\n    at An6 (/$bunfs/root/src/entrypoints/cli.js:1884:1233)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:42:53.987Z"},{"error":"Error: Plugin MCP server error - mcp-config-invalid: MCP server github invalid: Missing environment variables: GITHUB_PERSONAL_ACCESS_TOKEN\n    at lAH (/$bunfs/root/src/entrypoints/cli.js:1526:34345)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:42:54.020Z"},{"error":"Error: Plugin MCP server error - mcp-config-invalid: MCP server github invalid: Missing environment variables: GITHUB_PERSONAL_ACCESS_TOKEN\n    at lAH (/$bunfs/root/src/entrypoints/cli.js:1526:34345)\n    at async W (/$bunfs/root/src/entrypoints/cli.js:5820:10283)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:42:55.249Z"},{"error":"Error: Plugin MCP server error - mcp-config-invalid: MCP server github invalid: Missing environment variables: GITHUB_PERSONAL_ACCESS_TOKEN\n    at lAH (/$bunfs/root/src/entrypoints/cli.js:1526:34345)\n    at async Z (/$bunfs/root/src/entrypoints/cli.js:5820:11053)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:42:55.249Z"},{"error":"Error: 1P event logging: 4 events failed to export (code=ECONNABORTED, timeout of 10000ms exceeded)\n    at queueFailedEvents (/$bunfs/root/src/entrypoints/cli.js:422:2574)\n    at async doExport (/$bunfs/root/src/entrypoints/cli.js:422:1516)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:46:39.602Z"},{"error":"Error: {\"message\":\"Failed to export 4 events (code=ECONNABORTED, timeout of 10000ms exceeded)\",\"originalLine\":\"422\",\"originalColumn\":\"1668\",\"line\":\"422\",\"column\":\"1668\",\"sourceURL\":\"/$bunfs/root/src/entrypoints/cli.js\",\"stack\":\"Error: Failed to export 4 events (code=ECONNABORTED, timeout of 10000ms exceeded)\\n    at doExport (/$bunfs/root/src/entrypoints/cli.js:422:1668)\\n    at processTicksAndRejections (native:7:39)\",\"name\":\"Error\"}\n    at error (/$bunfs/root/src/entrypoints/cli.js:1822:4371)\n    at <anonymous> (/$bunfs/root/src/entrypoints/cli.js:417:36794)\n    at AZ4 (/$bunfs/root/src/entrypoints/cli.js:417:37338)\n    at <anonymous> (/$bunfs/root/src/entrypoints/cli.js:418:19103)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:46:39.605Z"},{"error":"Error: 1P event logging: 31 events failed to export (code=ECONNABORTED, timeout of 10000ms exceeded)\n    at queueFailedEvents (/$bunfs/root/src/entrypoints/cli.js:422:2574)\n    at async doExport (/$bunfs/root/src/entrypoints/cli.js:422:1516)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:46:59.619Z"},{"error":"Error: {\"message\":\"Failed to export 31 events (code=ECONNABORTED, timeout of 10000ms exceeded)\",\"originalLine\":\"422\",\"originalColumn\":\"1668\",\"line\":\"422\",\"column\":\"1668\",\"sourceURL\":\"/$bunfs/root/src/entrypoints/cli.js\",\"stack\":\"Error: Failed to export 31 events (code=ECONNABORTED, timeout of 10000ms exceeded)\\n    at doExport (/$bunfs/root/src/entrypoints/cli.js:422:1668)\\n    at processTicksAndRejections (native:7:39)\",\"name\":\"Error\"}\n    at error (/$bunfs/root/src/entrypoints/cli.js:1822:4371)\n    at <anonymous> (/$bunfs/root/src/entrypoints/cli.js:417:36794)\n    at AZ4 (/$bunfs/root/src/entrypoints/cli.js:417:37338)\n    at <anonymous> (/$bunfs/root/src/entrypoints/cli.js:418:19103)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:46:59.620Z"},{"error":"Error: Plugin MCP server error - mcp-config-invalid: MCP server github invalid: Missing environment variables: GITHUB_PERSONAL_ACCESS_TOKEN\n    at lAH (/$bunfs/root/src/entrypoints/cli.js:1526:34345)\n    at async Z (/$bunfs/root/src/entrypoints/cli.js:5820:11053)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:57:43.073Z"},{"error":"Error: Plugin MCP server error - mcp-config-invalid: MCP server github invalid: Missing environment variables: GITHUB_PERSONAL_ACCESS_TOKEN\n    at lAH (/$bunfs/root/src/entrypoints/cli.js:1526:34345)\n    at async W (/$bunfs/root/src/entrypoints/cli.js:5820:10283)\n    at processTicksAndRejections (native:7:39)","timestamp":"2026-04-06T21:57:43.075Z"}]