docs: improve start web server logging (#136) #566

Job	Run time
Build Docker images (amd64)	8m 0s
shared / Format	42s
build / Build and attach .deb and .whl packages (3.12, amd64)	5m 56s
shared / Static Code Analysis	46s
shared / Bandit	40s
shared / Lint	41s
shared / Sort	46s
shared / Unit test for Python 3.10 on ubuntu-22.04	43s
shared / Unit test for Python 3.11 on ubuntu-22.04	47s
shared / Unit test for Python 3.12 on ubuntu-22.04	50s
shared / Unit test for Python 3.13 on ubuntu-22.04	39s
install (ubuntu-20.04)	1m 55s
install (ubuntu-22.04)	1m 41s
E2E tests (amd64)	6m 5s
	30m 11s

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