Add initial Bayesian analysis implementation with BUMPS DREAM #256

Job	Run time
env-prepare	2s
source-test (ubuntu-24.04)	4m 54s
source-test (macos-15)	7m 17s
source-test (windows-2022)	10m 41s
package-test (macos-15)	11m 26s
package-test (windows-2022)	22m 6s
package-test (ubuntu-24.04)	12m 17s
run-reusable-workflows / dashboard	1m 43s
	1h 10m 26s

Provide feedback