Build an interactive Tamagotchi game using object-oriented programming concepts in python. The game should allow the user to create a virtual pet, take care of its needs, and play with it. The game should also have a graphical user interface (GUI) for the user to interact with.

Requirements
The game should have the following features:

Ability to create a new virtual pet with a name and initial statistics (hunger, happiness, cleanliness, and health)
Ability to feed the pet to decrease hunger
Ability to play with the pet to increase happiness
Ability to clean the pet to increase cleanliness
Ability to take the pet to the doctor to increase health
The pet's statistics should decrease over time if the user does not attend to them
The game should end if the pet's health reaches 0 or if the user quits the game
Your code should demonstrate a strong understanding of object-oriented design principles.
Consider the following guidelines when designing your classes:

Create a class for the Tamagotchi game itself
a. Different states (e.g., happy, hungry, tired, and dirty)
b. Needs (e.g., hunger, happiness, and hygiene)
c. Actions for the user to interact with the pet (e.g., feed, play, clean, and doctor)
Create at least one subclass for the virtual pet, with attributes for its name and statistics
Use inheritance to represent different types of pets (e.g. Monster, Fluffy cat, dragonX), which have different starting statistics and may have different actions available to them
Use methods to represent the actions the user can take (feeding, playing, etc.)

Use encapsulation to ensure that the pet's statistics cannot be directly modified by the user (e.g. through a setter method)
Implementation
The game should have a graphical user interface (GUI) for the user to interact with. Consider the following guidelines when implementing your GUI:

Use a popular GUI library in your language of choice (e.g. Tkinter for Python)
Include buttons for the user to perform actions (feeding, playing, etc.)
Display the pet's statistics on the screen (e.g. hunger level, happiness level, etc.)
Include a timer to decrease the pet's statistics over time
Code should be well-documented with comments and clear variable names
Code should handle errors gracefully (e.g. if the user tries to feed the pet when its hunger level is already at max)
Code should be organized into classes or modules for ease of maintenance and scalability