optuna/optuna-dashboard ? reverse-engineered prompt

Build me a real time dashboard for Optuna studies so I can point it at a study database and see how my optimization is going.

I want a clean web app that lets me enter a storage URL, open a study, and browse the trials with useful charts and tables like optimization history, parameter values, and which settings seem to work best. It should update as new trials come in, and make it easy to compare runs and inspect the best values and parameters.

If possible, also make it easy to run locally from a simple command, and support opening a SQLite file directly in the browser for a lightweight version. A small extension for JupyterLab or VS Code would be great too if that fits naturally.

Please build the main experience first, make it polished and easy to use, and look up current docs online if you need to.