PYTHON-5767 Implement DRIVERS-3427 phase 1 rollout changes #3663

Job	Run time
Make SDist	44s
Build wheels for win_amd6	4m 12s
Build wheels for manylinux_aarch64	14m 17s
Build wheels for manylinux_x86_64	2m 7s
Build wheels for manylinux_s390x	14m 37s
Build wheels for manylinux_ppc64le	13m 46s
Build wheels for macos	3m 51s
Build wheels for win32	4m 34s
Build wheels for win_arm64	7m 13s
Build wheels for manylinux_i686	2m 26s
Download Wheels	10s
	1h 7m 57s

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