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Remove `host_task` object management #6478

Job	Run time
build_windows (3.14, 3.14.* *_cp314t)	10m 1s
build_windows (3.12)	8m 34s
build_windows (3.14, 3.14.* *_cp314)	8m 52s
build_linux (3.14, 3.14.* *_cp314)	6m 12s
build_linux (3.13)	5m 55s
build_linux (3.11)	5m 58s
build_windows (3.13)	9m 33s
build_windows (3.11)	8m 35s
build_linux (3.10)	6m 10s
build_linux (3.12)	5m 22s
build_windows (3.10)	9m 25s
build_linux (3.14, 3.14.* *_cp314t)	5m 18s
test_linux (3.10, false, ubuntu-latest)	2m 35s
test_linux (3.12, false, ubuntu-latest)	3m 13s
test_linux (3.11, false, ubuntu-latest)	3m 19s
test_linux (3.14, 3.14.* *_cp314, false, ubuntu-22.04)	3m 56s
test_linux (3.14, 3.14.* *_cp314t, false, ubuntu-22.04)	3m 50s
test_examples_linux (3.14, 3.14.* *_cp314t, false, ubuntu-latest)	5m 23s
test_linux (3.13, false, ubuntu-latest)	2m 42s
test_examples_linux (3.14, 3.14.* *_cp314, false, ubuntu-latest)	5m 6s
test_windows (3.11, false, windows-latest)	3m 53s
test_windows (3.12, false, windows-latest)	3m 20s
test_windows (3.14, 3.14.* *_cp314t, false, windows-latest)	4m 6s
test_windows (3.10, false, windows-latest)	3m 41s
test_windows (3.14, 3.14.* *_cp314, false, windows-latest)	3m 36s
test_windows (3.13, false, windows-latest)	3m 40s
upload_linux	0s
upload_windows	0s
Clean up anaconda packages	-1s
	2h 22m 14s