PYTHON-5173 Adjust test_continuous_network_errors to be less flaky #1799

Job	Run time
Make SDist	33s
Build wheels for manylinux_x86_64	2m 30s
Build wheels for manylinux_aarch64	11m 24s
Build wheels for manylinux_ppc64le	10m 31s
Build wheels for manylinux_s390x	11m 16s
Build wheels for manylinux_i686	2m 36s
Build wheels for win_amd6	4m 58s
Build wheels for win32	5m 49s
Build wheels for macos	4m 8s
Download Wheels	9s
	53m 54s

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