PYTHON-5331 Convert stable api and storage tests to new task pattern #2161

Job	Run time
Make SDist	31s
Build wheels for manylinux_x86_64	2m 25s
Build wheels for manylinux_aarch64	11m 12s
Build wheels for manylinux_ppc64le	11m 22s
Build wheels for manylinux_s390x	11m 36s
Build wheels for manylinux_i686	2m 27s
Build wheels for win_amd6	3m 49s
Build wheels for win32	5m 49s
Build wheels for macos	3m 29s
Download Wheels	8s
	52m 48s

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