Pass parameters to dependency build

I have two build configurations with a dependency between them. Say, BUILD <-- DEPLOY.
BUILD has its own parameters which I can change using Custom build dialog of BUILD. If I run custom DEPLOY it also queues BUILD with default parameters.
How do I run DEPLOY in such a way that it allow me to customize the run of BUILD.
I expect the Custom build dialog of DEPLOY to include parameters from BUILD since they are chained but this does not happen.

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