Cross referencing Stacks using export variable - amazon-web-services

Question

Given that I have following stacks -
Stack-A
Output variable with export name output-resource-1
Stack-B
Has a parameter named base-stack-name which will be initialized to Stack-A during sam deploy
Stack-C
Has parameter named 'parent-stack-name' which will be initialized to 'Stack-B' during sam deploy
Now in Stack-C, I am trying to use resource exported in Stack-A. However Stack-C parameters can only accept one stack name as a parameter which is 'Stack-B'.
Idea is to use the reference to Stack-A available in Stack-B to access the export variable in Stack-A while creating Stack-C.
So I tried using something like this
Output section of Stack-A definition
StackAResource:
Description: StackAResource.
Value:
Fn::GetAtt: Database.Endpoint
Export:
Name:
Fn::Sub: ${AWS::StackName}-outout-resource-1
Stack-C definition where above exported resource is trying to be accessed.
Stack-C has a parameter named parent-stack-name
- Name: SomeResource
Value:
Fn::ImportValue:
Fn::Sub:
- ${stackAexportvariable}-output-resource-1
- stackAexportvariable:
Fn::Sub: ${parent-stack-name}-base-stack-name
The sam deploy for Stack-C keeps failing and I am not sure how I can get this to work. Any pointers would be appreciated.
I could easily add another parameter for Stack-C base-stack-name and access the exported variable. However as Stack-C is already accepting parent-stack-name, which has the information about base-stack-name , trying to get rid of additional user input.