Properly start/stop timer in DispatchScheduler #243

Job	Run time
Build distribution packages	43s
Test with nox (amd64, ubuntu-24.04, 3.11, ci_checks_max)	1m 40s
Test with nox (amd64, ubuntu-24.04, 3.12, ci_checks_max)	1m 56s
Test with nox (arm, ubuntu-24.04, 3.11, pytest_min)	1m 49s
Test with nox (amd64, ubuntu-24.04, 3.11, pytest_min)	1m 18s
Test with nox (arm, ubuntu-24.04, 3.12, ci_checks_max)	2m 17s
Test with nox (arm, ubuntu-24.04, 3.12, pytest_min)	1m 51s
Test with nox (amd64, ubuntu-24.04, 3.12, pytest_min)	1m 30s
Test with nox (arm, ubuntu-24.04, 3.11, ci_checks_max)	2m 10s
Test documentation website generation	0s
Test package installation (arm, ubuntu-24.04, 3.12)	1m 2s
Test package installation (amd64, ubuntu-24.04, 3.12)	35s
Test package installation (amd64, ubuntu-24.04, 3.11)	36s
Test package installation (arm, ubuntu-24.04, 3.11)	1m 8s
Test package installation	3s
Test with nox	3s
Publish documentation website to GitHub pages	49s
Create GitHub release	0s
Publish packages to PyPI	0s
	19m 30s

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