I particularly prefer the option that least obstructs the application, modal windows in some cases work as a barrier.
By choosing the second option, I would also use less obstructive options.
For example, the info icon has no meaning when the information is already open. In its place, I would put the app logo making implicit that it’s an institutional information. Text in red emphasizes its importance.
I would also eliminate the close icon, the X. There are two options, either keep the information open at all times, optimizing the text, or create a hiding vertical window when interacting with the application plus a scroll icon to return to view content.