How to create a PGN file with Lichess, complete with name and events?

It would be nice if on the "analysis chessboard" there was a way to analyze your match played in a tournament, and thus create your own library for live matches.
But only the list of moves appears in the "analysis chessboard", is it not possible to integrate the function?

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Edit: thank you for the answers, but in my opinion the function should be implemented with the addition of the game data with name, events, Elo. without going through the "study" function. This feature is on other platforms, but I love lichess and would like to use this site and not others.

There is a FEN &PGN tab below the board where you can copy or download PGN of the game.

There is an option to add games from your game history to a "study"
In the study there is an option to export the entire study as a pgn-file.

Is this what you meant?

You can also export the games from "analysis" individually, and collect them in a text-editor.

Replying to your "edit":

The player names, rating, event, etc IS in the pgn you can copy from the FEN&PGN tab
And it IS in the one you can export from the study.

Still unclear to me what you are missing.