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Rework example project tests #1298

Job	Run time
example-project-test	2m 28s
client (ubuntu-latest)	2m 34s
docs	1m 3s
ngauth (ubuntu-latest)	14s
client (windows-latest)	8m 53s
client (macos-latest)	2m 39s
python-build-package (ubuntu-latest, *, linux)	2m 45s
python-tests (3.9, ubuntu-latest)	6m 5s
python-build-package (windows-latest, *, windows)	7m 18s
wasm (ubuntu-latest)	1m 25s
python-tests (3.9, windows-latest)	4m 36s
python-build-package (macos-14, *_x86_64, macos_x86_64)	4m 10s
python-tests (3.9, macos-latest)	2m 41s
python-build-package (macos-14, *_arm64, macos_arm64)	2m 11s
python-tests (3.12, ubuntu-latest)	9m 0s
python-tests (3.12, windows-latest)	4m 52s
python-tests (3.12, macos-latest)	2m 42s
publish-package	0s
	1h 5m 36s

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