[codex] Add Teich Studio

[armand0e]

Summary

Adds Teich Studio as a browser UI for configuring projects, editing/importing prompts, running batch generation, steering interactive sessions, saving traces, and previewing saved output traces.

Details

• Adds the teich studio CLI command and packages the FastAPI server/static assets under src/teich/studio.
• Adds Studio backend APIs for config, prompts, batch jobs, interactive terminal/chat sessions, trace listing, and trace previews.
• Adds xterm-based terminal support for native agent sessions, including save/discard handling and trace export.
• Fixes the benign Windows websocket terminal noise observed after saving a trace by draining terminal websocket tasks and switching Studio to the selector event loop policy on Windows before uvicorn starts.
• Adds focused Studio backend tests for project state, summarizers, API behavior, terminal task cleanup, and Windows event loop policy setup.

Validation

• uv run ruff check src/teich/cli.py src/teich/studio tests/test_studio.py
• uv run pytest -s tests/test_studio.py tests/test_cli.py
• uv build
• uv run python -m compileall -q src tests
• Manual smoke: teich studio --no-open --port 8420, /api/status, and root HTML/static script references

Note: plain pytest capture on this Windows-mounted checkout hit a pytest temp-file capture issue, so the focused pytest runs were executed with -s.

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