Restructure Python examples #6302

Job	Run time
build_linux (3.10)	5m 28s
build_linux (3.13)	5m 31s
build_linux (3.14)	5m 49s
build_windows (3.13)	8m 10s
build_windows (3.11)	11m 10s
build_linux (3.11)	5m 38s
build_linux (3.12)	5m 27s
build_windows (3.12)	9m 0s
build_windows (3.10)	7m 47s
build_windows (3.14)	8m 35s
test_examples_linux (3.14, false, ubuntu-latest)	4m 2s
test_linux (3.13, false, ubuntu-latest)	2m 13s
test_linux (3.14, false, ubuntu-latest)	2m 8s
test_linux (3.11, false, ubuntu-latest)	2m 36s
test_linux (3.12, false, ubuntu-latest)	2m 5s
test_linux (3.10, false, ubuntu-latest)	2m 36s
upload_linux	-1s
test_windows (3.12, false, windows-latest)	3m 51s
test_windows (3.10, false, windows-latest)	3m 6s
test_windows (3.11, false, windows-latest)	3m 25s
test_windows (3.14, false, windows-latest)	4m 55s
test_windows (3.13, false, windows-latest)	3m 32s
upload_windows	-1s
Clean up anaconda packages	0s
	1h 47m 2s

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