Run template tests

Add `uv` and `pixi`. #1707

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Run time

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Job	Run time
test macos-latest py3.11	19s
test macos-latest py3.12	15s
test macos-latest py3.13	15s
test ubuntu-latest py3.11	18s
test ubuntu-latest py3.12	24s
test ubuntu-latest py3.13	27s
test windows-latest py3.11	1m 8s
test windows-latest py3.12	1m 11s
test windows-latest py3.13	1m 56s
	6m 13s