Migrate to `{{ stdlib("c") }}` #1338

Job	Run time
devcontainer / build (amd64, 12.2, conda)	4m 1s
devcontainer / build (amd64, 12.2, pip)	3m 10s
checks / other-checks	45s
checks / check-style	1m 34s
conda-cpp-build / compute-matrix	3s
wheel-build / compute-matrix	2s
wheel-build / 11.8.0, 3.9, amd64, rockylinux8	3m 25s
wheel-build / 12.2.2, 3.9, amd64, rockylinux8	3m 19s
wheel-build / 11.8.0, 3.10, amd64, rockylinux8	3m 27s
wheel-build / 12.2.2, 3.10, amd64, rockylinux8	3m 17s
wheel-build / 11.8.0, 3.11, amd64, rockylinux8	3m 14s
wheel-build / 12.2.2, 3.11, amd64, rockylinux8	3m 28s
wheel-build / 11.8.0, 3.9, arm64, rockylinux8	2m 51s
wheel-build / 12.2.2, 3.9, arm64, rockylinux8	2m 51s
wheel-build / 11.8.0, 3.10, arm64, rockylinux8	2m 52s
wheel-build / 12.2.2, 3.10, arm64, rockylinux8	2m 52s
wheel-build / 11.8.0, 3.11, arm64, rockylinux8	2m 59s
wheel-build / 12.2.2, 3.11, arm64, rockylinux8	2m 55s
conda-cpp-build / 11.8.0, 3.10, amd64, ubuntu22.04	3m 18s
conda-cpp-build / 12.2.2, 3.10, amd64, ubuntu22.04	2m 19s
conda-cpp-build / 11.8.0, 3.10, arm64, ubuntu22.04	3m 28s
conda-cpp-build / 12.2.2, 3.10, arm64, ubuntu22.04	2m 46s
wheel-tests / compute-matrix	2s
wheel-tests / 12.2.2, 3.9, amd64, ubuntu22.04, v100	6m 7s
wheel-tests / 11.8.0, 3.11, arm64, ubuntu20.04, a100	4m 36s
conda-cpp-tests	0s
conda-python-build	0s
docs-build	0s
conda-python-tests	0s
pr-builder	0s
	1h 9m 41s

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