The data is, I gather, flare. If I want to use my own data instead, I will need the same data structure/format. I imagine that this should be easy, but as far as I understand it I will need to find and dig into the structure of flare first. Is this correct?
Elsewhere you can use console.log(flare) to display it. The crucial thing to understand is that when in Plot you say path: "name", the path channel will be constructed by taking the name property of each element of the data (that is, flare.slice(0, 50) in this case).
If you want to adapt this code to your data (rather than adapt your data to this code), you can use a different property name, or even a function, to populate the path channel. See Marks | Observable Plot for details.
The delimiter option tells Plot what character to use when it splits the path channel into a hierarchical structure.