Please make an effort to write this code on your own first.
Read the file and deserialize the contents into a C# type.
How to serialize and deserialize (marshal and unmarshal) JSON in .NET
https://learn.microsoft.com/en-us/answers/questions/699941/read-and-process-json-file-with-c.html
Use LINQ to find the item with the file path you're looking for.
var item = items.FirstOrDefault(i => i.FilePath == "/Users/jassim/Projects/MauiPad/SampleText/2.txt");
Make the update.
item.LastModified = DateTime.Now;
Sterilize the items back into a file.