Reverse dependency testing Github actions workflow

[mohamed82008]

Would be nice to set this up for DPPL and all Turing deps. https://discourse.julialang.org/t/ann-github-action-workflow-to-test-if-your-pr-breaks-another-package-reverse-dependency-integration-testing/57635

[devmotion]

Would be good to check what the differences and (dis)advantages are compared with the integration tests in ChainRulesCore (https://discourse.julialang.org/t/github-actions-workflow-for-reverse-dependency-integration-testing/53536).

[devmotion]

SciML uses the same setup as ChainRules: https://github.com/SciML/SciMLBase.jl/blob/master/.github/workflows/Downstream.yml

[mohamed82008]

whichever we use, it would be nice to use either