Rename Outputs Export Name in CloudFormation

Hi

I’m deploying multiple lambdas in AWS which have the same name. We add a custom variable to distinguish what ‘client’ they are for. However the issue we are facing is duplicate outputs that have the same export name.

What I’ve done is pass a custom stackName to prefix things which results in the correct Physical ID
${self:app}-${opt:stage}-${self:service}

which results in

clientA-dev-product.

The app name is this isn’t transferred to the export name which is currently sls-product-dev-EnterpriseLogAccessIamRole and i’d actually hope this was sls-clientA-product-dev-EnterpriseLogAccessIamRole.

Does anyone know a way around this?
Thanks