
Mac mini is 2018 I think- wonder if it has thunderbolt usb c to DisplayPort as that might work as I have found a DP switcher box I used to use previouslyJust double checked and a lot of them are uni-directional (and most are from a DisplayPort output from the graphics card to HDMI for the display output/monitor end) - so unfortunately seems like the best option is a new monitor
What year of Mac Mini is it you have?