[MAINT] Update Conda in base env in conda-package workflow #6249

Job	Run time
build_windows (3.12)	9m 7s
build_windows (3.11)	9m 36s
build_linux (3.10)	6m 20s
build_windows (3.13)	8m 47s
build_windows (3.10)	10m 13s
build_linux (3.13)	6m 11s
build_linux (3.11)	7m 0s
build_windows (3.14)	11m 6s
build_linux (3.12)	6m 31s
build_linux (3.14)	6m 19s
test_examples_linux (3.11, false, ubuntu-latest)	6m 0s
test_linux (3.14, false, ubuntu-latest)	3m 51s
test_linux (3.13, false, ubuntu-latest)	4m 18s
test_linux (3.10, false, ubuntu-latest)	3m 56s
test_linux (3.11, false, ubuntu-latest)	3m 53s
test_linux (3.12, false, ubuntu-latest)	4m 1s
test_windows (3.10, false, windows-latest)	4m 56s
test_windows (3.11, false, windows-latest)	3m 56s
test_windows (3.13, false, windows-latest)	3m 57s
test_windows (3.14, false, windows-latest)	4m 38s
test_windows (3.12, false, windows-latest)	3m 17s
upload_linux	0s
upload_windows	0s
Clean up anaconda packages	0s
	2h 7m 53s

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