The eye tracking thing I've tried doing at some point, a few years back. Unless you have hardware to support running neural networks it turns out to be way too power-consuming, even if it's push-to-point (you have to depress a key to move the pointer to where your eye is/was).
Today I run an older xps13 which is quite close. My next will probably be a framework (immediately) when they get a matte screen option.
!: matte screen, >350nit, >150dpi, >12", <1.66 aspect (want vertical space).
!: good keyboard. subjectively of course.
!: >10h, full day's work on battery.
!: good linux compatibility. I'll run my own and don't need the headache.
!: dead silent and cool. I run underclocked mostly, with fans off.
!: <1.4kg
Things I don't need:
-: very fast cpu. I mostly run seriously underclocked, have a small cluster to offload compiling and heavy work onto.
-: design. Just plain, simple, no flashy-flashy nor logos nor stickers.
-: touch screen.
What I would like:
:) >16h battery.
:) <1kg, ca A4 format, great if I can detach the screen to put it in portrait in front of me.
:) oled or similar, 300dpi. Best would of course be primarily reflective instead of transmittive. If we're already dreaming.
:) mouse nubbin thingy, or eye tracking (!)
:) good on board sound and a 3.5mm jack.