I want to run a BIg sur app in Catalina

Contact the Controlly app vendor, and request that they add support for older macOS versions:

https://hugolispector.com/controlly/

Contact info is available at the bottom of the About webpage at that website.

That the app requires features that first arrived with macOS Big Sur would not be a surprise, but the app vendor support folks will know the details here.

The alternative for a Mac that cannot be upgraded to Big Sur is a newer or new Mac.

Depah:

"I want to run a BIg sur app in Catalina: I want to run a Big Sur only app(controlly) but I have a machine that don't run Big Sur, I have Catalina, what I can do?"

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What to do:

Either use Big Bur, or ask the developer if they have a Mojave (or prior) version.

Depah:

"I want to run a BIg sur app in Catalina: I want to run a Big Sur only app(controlly) but I have a machine that don't run Big Sur, I have Catalina, what I can do?"

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Catalina 64bit-Only:

Note that macOS 11.1 is Big Sur is 64bit only. So, if the developer has no 64bit version, then that would be a reason as to why to it is not an option. So, ask the Developer if thy have 64bit version.