There's a correlation when comparing computer cores from a similar generation with a similar instruction set because a computer core that operates at a higher frequency, in GHz, can handle more operations per second. However, a higher frequency isn't the only aspect of a computer core's overall speed, and that correlation becomes loose when you compare processors from different generations or with different instruction sets. The Apple Mac mini (M2) has a CPU with four efficiency cores that operate at 2.4 GHz and four performance cores that operate at 3.5 GHz.

It is not possible for us to run benchmark tests for computers under all conceivable circumstances. For specific situations such as you described, the best resource would be user benchmarks and reports from others who have purchased the Mac Mini M2 and may have attempted something similar.

I output to a 4K monitor with the HDMI and I use a simple USB-C to HDMI adapter coming from the TB4 port to a projector simultaneously with no issues.

The Apple Mac mini (M2) is compatible with keyboards and mouse that use Bluetooth.

According to Apple support, the current fix for this problem is to disable Display Adaptive Sync/FreeSync options.

The Apple Mac mini (M2) runs the latest version of macOS.

The Apple Mac mini (M2) runs macOS.

The Apple Mac mini (M2) BH #APMACMINM210 is capable of up to 6k 60Hz via HDMI.