Nox had the same 32-bit problem. You need (the last 64-bit beta for Catalina).

“Extract old BlueStacks 4 app. Replace libhoudini.so with this. Delete 32-bit kexts. Run with Rosetta 2 translation layer. Works on Catalina 10.15.7 only. Not work on Big Sur. Good luck.”

Before diving into solutions, it is crucial to understand the root causes. There are two primary technical barriers preventing BlueStacks from running smoothly (or at all) on Catalina.

During installation, macOS Catalina may show a "System Extension Blocked" message. Go to System Preferences > Security & Privacy > General .