Actually, you can orientate yourself a bit on the possibilities of the graphics card. The manufacturer should list the resolution possibilities. This generally helps to get a good picture. With HDMI, at least 1.4 must be possible and with DisplayPort, version 1.2 is already sufficient.
The HP screen even has an HDMI 2.0 input and also USB-C, DisplayPort 1.2 is supported:
Signal input connectors
1 USB Type-C™ (Alternative mode DisplayPort™ 1.2, power delivery up to 65 W); 1 HDMI 2.0 (with HDCP support); 1 DisplayPort™ 1.2 in (with HDCP support); 4 USB-A 3.2 Gen 1
I wouldn't recommend a 34 inch screen with 3440 x 1440 pixels though, as a 32 inch screen with 4K UHD resolution in 3840 x 2160 pixels makes a sharper picture and shows much more picture content. This LG model costs about the same, even offers HDR600, also USB-C and built-in speakers. It is also much brighter.
LG 32UL750-W (32 ", 3840 x 2160 Pixels)
