You need to implement a recursive function that searches for a file in a dictionary by its name. The dictionary contains file information, where each file has a unique id, name, and path. The function should return the details of the file when it finds a match for the specified file name.

• Complete the code by filling in the missing parts (___) in the given function.
• If the dictionary is empty, the function should return None.
• If a file with the target name is found, the function should return the details of that file.
• The function should recursively check the remaining files after each file is checked, until the target file is found or all files are checked.