[MAINT] Update Conda in base env in conda-package workflow #6278

Job	Run time
build_linux (3.13)	5m 54s
build_linux (3.10)	5m 46s
build_linux (3.14)	5m 26s
build_linux (3.12)	6m 3s
build_linux (3.11)	5m 51s
build_windows (3.10)	11s
build_windows (3.12)	38s
build_windows (3.11)	11s
build_windows (3.14)	6s
build_windows (3.13)	5s
test_windows	0s
upload_windows	0s
test_examples_linux (3.11, false, ubuntu-latest)	4m 57s
test_linux (3.11, false, ubuntu-latest)	2m 46s
test_linux (3.14, false, ubuntu-latest)	3m 5s
test_linux (3.12, false, ubuntu-latest)	2m 49s
test_linux (3.13, false, ubuntu-latest)	3m 14s
test_linux (3.10, false, ubuntu-latest)	4m 7s
upload_linux	0s
Clean up anaconda packages	0s
	51m 9s

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