Delete added_examples directory

LSSTDESC / rail_gpz_v1

RAIL-wrapped version of Peter Hatfields pure python implementation of GPz-v1

MIT License

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Problem & Solution Description (including issue #)

Removing the example notebook as part of LSSTDESC/rail#48

Notebook is now available within the umbrella rail package at https://github.com/LSSTDESC/rail/blob/main/examples/estimation_examples/GPz_estimation_example.ipynb

Code Quality

[x] My code follows the code style of this project
[x] I have written unit tests or justified all instances of #pragma: no cover; in the case of a bugfix, a new test that breaks as a result of the bug has been added
[x] My code contains relevant comments and necessary documentation for future maintainers; the change is reflected in applicable demos/tutorials (with output cleared!) and added/updated docstrings use the NumPy docstring format
[x] Any breaking changes, described above, are accompanied by backwards compatibility and deprecation warnings

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Comparison is base (a26b66c) 64.11% compared to head (8f2c6d1) 64.11%.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #13 +/- ## ======================================= Coverage 64.11% 64.11% ======================================= Files 2 2 Lines 510 510 ======================================= Hits 327 327 Misses 183 183 ```

LSSTDESC / rail_gpz_v1