[MAINT] Update Conda in base env in conda-package workflow #6245

Job	Run time
build_linux (3.12)	5m 44s
build_windows (3.12)	2m 39s
build_linux (3.10)	6m 12s
build_windows (3.14)	2m 25s
build_linux (3.14)	6m 18s
build_windows (3.11)	2m 18s
build_linux (3.13)	6m 22s
build_linux (3.11)	6m 18s
build_windows (3.10)	2m 20s
build_windows (3.13)	2m 15s
test_windows	0s
upload_windows	0s
test_examples_linux (3.11, false, ubuntu-latest)	5m 32s
test_linux (3.10, false, ubuntu-latest)	2m 20s
test_linux (3.13, false, ubuntu-latest)	3m 50s
test_linux (3.14, false, ubuntu-latest)	3m 44s
test_linux (3.11, false, ubuntu-latest)	2m 39s
test_linux (3.12, false, ubuntu-latest)	4m 9s
upload_linux	-1s
Clean up anaconda packages	0s
	1h 5m 4s

Provide feedback