desktop flow with variable for name

I have put together a flow (main flow) that interacts with SQL Server. I have a table that stores the names of all my flows along with the next run date for each one. Then, based on which one is scheduled to run, I retrieve the name of the flow. (1)

All I want to do is pass the name of the flow. But when I put in the name of the variable (2), I'm not even given the chance to use it as an option (3).

I get that I can't use a variable name for the flow name with "Run Desktop Flow". But I can't imagine that there is no way to run a desktop flow with a dynamic flow name. Our organization will eventually have dozens of these flows, and it kind of defeats the purpose of automation if I have to keep changing the main flow after each new flow is added.

Is there any way around this limitation? Is there another way to do this?