After upgrading to the 1.2.2 version I can not draw anything, and Inkscape seems unresponsive. I can not draw even rectangles or circles as well as can not write texts.

Please go Inkscape Preferences->System hit "Reset Preferences" and restart Inkscape. Fingers crossed.

Issues persist. I started inkscape in terminal and caught this error message:
Bail out! Gtk:ERROR:../../../../gtk/gtkiconhelper.c:494:ensure_surface_for_gicon: assertion failed (error == NULL): Failed to load /snap/inkscape/10536/data-dir/icons/Adwaita/16x16/status/image-missing.png: Unrecognized image file format (gdk-pixbuf-error-quark, 3)

How should I proceed?

1. Describe your OS (your computer's Operating System: Mac/Windows/Linux/etc. & version).
2. Describe the version of Inkscape and the installer you used (the file you downloaded from the website: .msi/.exe/.zip/other ). 

Here are below the characteristics of my system:

Operating System: Fedora Linux 38
KDE Plasma Version: 5.27.5
KDE Frameworks Version: 5.107.0
Qt Version: 5.15.10
Kernel-Version: 6.3.7-200.fc38.x86_64 (64-bit)
Graphics Platform: X11
Processors: 12 × AMD Ryzen 5 3600 6-Core Processor
Memory: 15.5 GiB of RAM
Graphics Processor: PITCAIRN

Installation methods: Fedora package, Snap but I haven't tried flatpak.

Inkscape version: Inkscape 1.2.2 (732a01da63, 2022-12-09, custom)

I know there have been issues with both install methods, so you may want to file a report.

Here are some existing issues that may be related: https://gitlab.com/inkscape/inbox/-/issues/?sort=closed_at_desc&state=all&search=fedora&label_name%5B%5D=crash&first_page_size=27

I think the trouble got solved. I have changed the graphics platform from X11 to Wayland, now everything runs smoothly
Thank you, Tyler for your kind attention.

Excellent you got it sorted.

Thanks for posting your solution!