can not find a compatible 4k monitor that supports free-sync with HDMI input to utilize xbox ...

Unfortunately, according to your
Predator X34 support documentation on ASUS's website, this monitor uses HDMI 1.4 as the input.

HDMI 1.4 only supports up to 4K@30Hz. The Xbox One X will not be able to utilize this resolution setting, so the maximum option available with this display is 1080p@60Hz.

Your display must support HDMI 2.0 if you want 4K@60Hz.

It doesn't need to claim to be compatible, the monitor states it can do 4k all 4k monitors are compatible with ps5 and xbox series x. It's technology and science, backwards compatibility, the engineers even stated it worked fine on xbox series x, so they lied to me? There are even answers saying its compatible with The 4K portable monitor is compatible with Xbox series s, it states in the answers.

Even stated

Q: Would this work with nintendo switch and ps5?
A: Yes it works with any device with an HDMI port.

The reason it might not have stated this in description is the release of this monitor came out before ps5 and xbox S/X. All HDMI tv's are backwards compatible and future proof based on the capabilities of ther monitor, 4k thus 4k devices. I just know this monitor is being oversold as a true 4k monitor when clearly it's not, I believe the IPS screen is not 2160p just the electronics are perhaps set to 1800p, if the display is not a native 2160p then it's not 4k correct?

That meaning if it goes out of sync on occasion then it can't be a true 2160p display.

In order for a game to be displayed in 4K, the HDMI input that the Xbox is plugged into must support the HDMI 2.0 specification, meaning it must support 4K/60Hz (2160p/60Hz). HDMI 1.4 specification supports up to 2160p/30Hz, which the Xbox One X will not
utilize (and instead will use 1080p/60Hz). Some 4K problems can be fixed by checking the TV's own settings menus.

TCL TVs (as far as I know) have an option to configure which HDMI version it should use with the connected device, which can be found in the "TV Input" settings. Set it to "HDMI 2.0". Check your manual for the exact steps.

It’s a Samsung 390 series 24 inch led free sync monitor

I’m just trying to get the Xbox to show up in the hdmi input it won’t work with the monitor and doesn’t let me switch modes

I am able to display 1440p @ 60hz (and can select variavle refresh but no 120hz) and 4K can be selected if 24Hz is checked.

I am 100% sure the HDMI cord is 2.0 compatible at 18gbps.

The manual for the monitor claims HDMI 2.0 input accepts 120hz at 1440p.

i have messed around with settings, reset my xbox, and checked if monitor settings can be changed (they cant).

thank you for the quick response