Customise paginated report filename at export

I am embedding a paginated report in my web application using the powerbi-client-angular package.

After the report is loaded there is an option to export the report to various file formats in the embedded view:

The export itself works fine, but the suggested filename is based on the paginated report's name in the Power BI workspace. That filename does not necessarily match the name of the report presented to users in my web application. In some cases the same report file is used several times with different pre-set parameters and varying names in the UI.
It then becomes difficult for users to keep track of which report is/was saved when the suggested name clashes for what is to them completely different reports.
Is there a way to pass in a value to the export function to override the 'Generic_Report' filename that it should use as the suggested name in the Save As dialog?