Rename `dispatch` to `new_dispatch` for better clarity #249

Job	Run time
Test with nox (amd64, ubuntu-24.04, 3.11, ci_checks_max)	59s
Test with nox (amd64, ubuntu-24.04, 3.12, pytest_min)	1m 51s
Build distribution packages	39s
Test with nox (arm, ubuntu-24.04, 3.11, ci_checks_max)	1m 35s
Test with nox (arm, ubuntu-24.04, 3.11, pytest_min)	1m 57s
Test with nox (amd64, ubuntu-24.04, 3.12, ci_checks_max)	1m 10s
Test with nox (amd64, ubuntu-24.04, 3.11, pytest_min)	1m 25s
Test with nox (arm, ubuntu-24.04, 3.12, ci_checks_max)	1m 41s
Test with nox (arm, ubuntu-24.04, 3.12, pytest_min)	1m 58s
Test documentation website generation	0s
Test package installation (arm, ubuntu-24.04, 3.11)	1m 7s
Test package installation (amd64, ubuntu-24.04, 3.12)	40s
Test package installation (amd64, ubuntu-24.04, 3.11)	33s
Test package installation (arm, ubuntu-24.04, 3.12)	1m 16s
Test with nox	2s
Test package installation	3s
Publish documentation website to GitHub pages	0s
Publish packages to PyPI	0s
Create GitHub release	0s
	16m 56s

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