Hello,
You can use following groovy in your required test case:
I have assumned the property you want to use is "value" and is stored in "Properties" test step of the test case.
def project = context.testCase.testSuite.project
def myTestSuite = project.getTestSuiteByName("Name of Suite")
def myTestCase = myTestSuite.getTestCaseByName("Name of Test Case from which you want to pull some property")
def myTestStep = myTestCase.getTestStepByName("Properties") // assumping name of test step
def property_picked = myTestStep.getPropertyValue("value"); // assuming the property to be used
log.info property_picked // can be used to play the way you wanna in your current Test case
Hope it helps...