Hey Ines,
For a 32-inch smart monitor that balances gaming and streaming needs, look for one with an IPS panel for great colors and wide viewing angles, a refresh rate of at least 60Hz (144Hz is rare for smart monitors), HDMI 2.0 or USB-C ports for easy connection to his ASUS ROG Strix G713QR-K4048W, and brightness over 350 nits for dark rooms. LG and Samsung have good options, though they often cap at 60Hz, so you might consider adding a streaming device like a Roku or Amazon Fire Stick if you need higher refresh rates for gaming.