Simplify the example script and rename examples #609

Job	Run time
Run linting/pre-commit checks	41s
Run linting/pre-commit checks	41s
check_docs	1m 11s
check_docs	1m 11s
unit_tests (ubuntu-latest, 3.10)	6m 2s
unit_tests (ubuntu-latest, 3.10)	6m 2s
unit_tests (macos-latest, 3.10)	3m 22s
unit_tests (macos-latest, 3.10)	3m 22s
local_integration_tests (3.10)	7m 43s
local_integration_tests (3.10)	26m 56s
launch-slurm-actions-runner	0s
Run integration tests on the ${{ matrix.cluster }} cluster in job ${{ needs.launch-slurm-actions-runner.outputs.job_id }}	0s
Upload coverage reports to Codecov	0s
Upload coverage reports to Codecov	0s
launch-slurm-actions-runner (mila)	40s
Run integration tests on the mila cluster in job	7m 20s
	1h 5m 11s

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