Improve queries routing logging #9311

Job	Run time
Typos Check	6s
Unit tests on ubuntu-latest	20m 32s
Lints and doc tests on ubuntu-latest	12m 4s
Unit tests on windows-latest	28m 51s
Lints and doc tests on windows-latest	17m 30s
Unit tests on macos-13	13m 28s
Lints and doc tests on macos-13	16m 32s
Unit tests on macos-14	10m 35s
Lints and doc tests on macos-14	8m 24s
Memory leak checks	2m 2s
CI status checks	1s
	2h 10m 5s

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