[ENH] Remove `prts` package and related functions

[aryanpola]

Related PR #2400

• Deprecate the older functions.

• Update the tests. They should compare the hard-coded values with the new implementation output.

• Remove the older functions from aeon\benchmarking\metrics\anomaly_detection\_binary.py that use prts as a dependency and remove the test cases using _binary functions. Refactoring made this obsolete

• Remove prts from all_extras.

[aryanpola]

@aeon-actions-bot assign @aryanpola

[Sharathchenna]

@aryanpola Can i work on this part?

[MatthewMiddlehurst]

As these are part of benchmarking, they must be deprecated first. Please read our deprecation guide if you want to do this yourself.

[aryanpola]

@MatthewMiddlehurst Since the older functions will be removed in the upcoming version, would a single PR addressing the deprecation of functions from aeon\benchmarking\metrics\anomaly_detection\_binary.py be sufficient for now?

Also, would you like me to address in a new PR or the existing PR (#2400 )?

[MatthewMiddlehurst]

I would do it in a new PR