What do you mean by this? I have an 8th gen i5u in an HP laptop at work, and it's been driving an external 4k@60Hz screen for years. It has no dedicated GPU at all, just the integrated UHD 620 or something like that.
It can even daisy chain two external displays, in addition to the integrated panel. Not sure if it can drive two external 4k like this, I only have FHD + 4K to test.
The display is an LG, can't remember the model, but it worked with multiple other displays, HP, Dell, etc.
Your issue may be related to the connection. The limitation of 30 Hz makes me think you're connecting via HDMI. If that's all you have, you're SoL.
4k@60 requires HDMI 2, but Intel CPUs only recently have got that. 8th gen certainly doesn't have it.
You need DisplayPort for this to work. Laptops don't often have DP connectors, but they may have USB-C and/or Thunderbolt with DP alt-mode. This is what I use, hence the DP-xxx output name.
If you look closely, there's the DP logo next to the USB-C connector for my particular model: https://wu-tc-shop.com/WebRoot/Store11/Shops/a31626df-5333-4...
I'm not sure what you're on about in regards to 4k needing a dGPU. That's not true.
What do you mean by this? I started using 4k screen with my shitty employer-issued Intel-based Lenovo laptop more than 4 years ago.