Backend API

The FastAPI backend exposes:

Method	Path	Purpose
GET	/api/config	active provider/model + feature flags
POST	/api/research/stream	one research turn (SSE)
POST	/api/goals	launch a long-running goal
GET	/api/goals/{id}/events	replay + live SSE for a goal
POST	/api/latex/compile	compile LaTeX → PDF
GET	/api/experiments	list recorded experiments
POST	/api/research-db/search	read-only SQL over the research DB

Streamed events are JSON with a type: token, tool_call, tool_result, todos, files, goal_started, done, error.