"Qt issued a fatal error: This application failed to start because no Qt platform plugin could be initialized." when running Mathematica on WSL2

I am trying to run Mathematica 13.3 on WSL2 but currently I am having the following problem:

name@DESKTOP-LP1RBJM:~$ mathematicaQt issued a fatal error: This application failed to start because no Qt platform plugin could be initialized. Reinstalling the application may fix this problem.Available platform plugins are: eglfs, linuxfb, minimal, minimalegl, offscreen, vnc, wayland-egl, wayland, xcb.Qt tried to load plugins from:/usr/local/Wolfram/Mathematica/13.3/SystemFiles/Libraries/Linux-x86-64/Qt/plugins/usr/local/Wolfram/Mathematica/13.3/SystemFiles/FrontEnd/Binaries/Linux-x86-64Mathematica was installed in /usr/local/Wolfram/Mathematica/13.3Aborted

As of writing I don't really know what to search for and what to do. How should I go about solving this? My subsystem is running on Ubuntu 22.04:

name@DESKTOP-LP1RBJM:~$ lsb_release -aNo LSB modules are available.Distributor ID: UbuntuDescription:    Ubuntu 22.04.2 LTSRelease:        22.04Codename:       jammy

Addendum: On the off chance that there is no need to solve this problem in the first place, the reason I am trying to get Mathematica to work with WSL2 is that one Mathematica code file I have to run multiple times with varying parameters takes some minutes to perform one set of computations. This process takes 15-20% less time on my oldish Lenovo ThinkPad running on Ubuntu 22.04 than on my beefier workstation, running on Windows 10. For this reason I want to try if the situation could be reserved and improved with the use of Linux subsystem. I am aware that one possibility is just to dual boot my PC, but as of writing I wanted the most straightforward way which, quite ironically, has turned out to be anything but straightforward. Anyway, if you happen to know that I am currently on fool's errand and it makes virtually no sense to try to obtain better performance with subsystem, feel free to say this!