Using "private" C module from Swift

MyFramework-Common.xcconfig

SWIFT_INCLUDE_PATHS = $(SRCROOT)

MyFramework.swift

import MyModule.Private

// use stuff from "MyModule"

MyModule_module.modulemap

# This should be in a directory "$(SRCROOT)/MyModule"
# and named "module.modulemap".

module MyModule {
    export *
    
    #link "system"
    #link framework "Foo"
}

MyModule_module.private.modulemap

# This should be in a directory "$(SRCROOT)/MyModule"
# and named "module.private.modulemap".

explicit module MyModule.Private {
    header "UmbrellaHeader.h"
    header "OtherHeader.h"
}

if I use this technique in a framework, the private module will be part of the framework bitcode? no need to import the dependency module in the project where I use the framework ?