[ENH,MNT] Adding Init saving for deep clustering module

[hadifawaz1999]

Describe the feature or idea you want to propose

Following the updates in #1826 , would be nice to have the same functionality and testing in the deep clustering module.

Describe your proposed solution

• Adding save_init_model flag parameter to each deep clustering module, default to False
• Adding init_file_name default to "init_model"
• Follow same procedure to save init model such as in #1826
• Adding a save/load testing function in deep clustering module such as in #1826

Describe alternatives you've considered, if relevant

No response

Additional context

No response