[MAINT] Update Conda in base env in conda-package workflow #6248

Job	Run time
build_linux (3.11)	11m 58s
build_windows (3.11)	10m 54s
build_windows (3.14)	10m 30s
build_linux (3.13)	5m 18s
build_linux (3.12)	5m 35s
build_windows (3.10)	10m 10s
build_windows (3.13)	10m 15s
build_windows (3.12)	9m 38s
build_linux (3.14)	5m 27s
build_linux (3.10)	6m 11s
test_windows (3.13, false, windows-latest)	3m 29s
test_windows (3.10, false, windows-latest)	4m 0s
test_windows (3.14, false, windows-latest)	3m 58s
test_windows (3.11, false, windows-latest)	3m 16s
test_windows (3.12, false, windows-latest)	3m 39s
test_examples_linux (3.11, false, ubuntu-latest)	7m 34s
test_linux (3.11, false, ubuntu-latest)	3m 52s
test_linux (3.14, false, ubuntu-latest)	4m 29s
test_linux (3.13, false, ubuntu-latest)	4m 33s
test_linux (3.12, false, ubuntu-latest)	4m 18s
test_linux (3.10, false, ubuntu-latest)	4m 5s
upload_windows	0s
upload_linux	0s
Clean up anaconda packages	-1s
	2h 13m 8s

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