tests

test: add new int tests for Connector with domain name #4500

Job	Run time
unit tests (3.9)	1m 9s
unit tests (3.13)	1m 3s
integration tests (macos-latest, 3.9)	1m 28s
integration tests (macos-latest, 3.13)	1m 28s
integration tests (windows-latest, 3.9)	1m 56s
integration tests (windows-latest, 3.13)	1m 36s
integration tests (ubuntu-latest, 3.9)	48s
integration tests (ubuntu-latest, 3.13)	52s
	10m 20s

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