ae-paths

Develop a simple yet powerful file management tool named 'PathMaster' using Python. This tool will leverage the 'ae-paths' package to handle various file path operations efficiently. Your goal is to create a command-line interface (CLI) application that allows users to perform common file management tasks such as listing files in a directory, moving files between directories, copying files, renaming files, and deleting files. Additionally, include advanced features like batch processing of files based on user-defined criteria (e.g., file type, size, date modified), and the ability to recursively process subdirectories.

Here’s a breakdown of what your application should do:
1. **List Files**: Allow users to list all files in a specified directory, optionally filtering by file types.
2. **Move Files**: Implement functionality to move one or more files from one directory to another.
3. **Copy Files**: Provide an option to copy files to a different directory.
4. **Rename Files**: Enable renaming of files with a new name.
5. **Delete Files**: Include a feature to safely delete files.
6. **Batch Processing**: Offer users the ability to apply actions (move, copy, rename, delete) to multiple files at once based on criteria such as file extension, size, and modification date.
7. **Recursive Operations**: Support operations that can be performed recursively across subdirectories.

Utilize the 'ae-paths' package to manage file paths in a clean and efficient manner. For example, use its functions to construct, validate, and manipulate file paths before performing any file system operations. Ensure that your application handles errors gracefully and provides informative feedback to the user.

Your final deliverable should include a well-documented codebase, a set of unit tests to ensure reliability, and a comprehensive README file detailing how to install and run the application.