[MAINT] Update Conda in base env in conda-package workflow #6276

Job	Run time
build_linux (3.13)	4m 19s
build_windows (3.13)	1m 48s
build_linux (3.10)	4m 38s
build_linux (3.12)	5m 22s
build_linux (3.14)	5m 26s
build_windows (3.12)	1m 52s
build_windows (3.11)	1m 50s
build_windows (3.10)	1m 55s
build_windows (3.14)	1m 57s
build_linux (3.11)	4m 40s
test_windows	0s
upload_windows	0s
test_linux (3.13, false, ubuntu-latest)	2m 29s
test_linux (3.14, false, ubuntu-latest)	2m 29s
test_linux (3.10, false, ubuntu-latest)	2m 22s
test_examples_linux (3.11, false, ubuntu-latest)	5m 10s
test_linux (3.11, false, ubuntu-latest)	2m 25s
test_linux (3.12, false, ubuntu-latest)	2m 11s
Clean up anaconda packages	0s
upload_linux	-1s
	50m 52s

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