Sadly the game doesn't run without running it as a root user. Tried all of your steps. Used
chmod 755 ./Downloads/AlienBaby_x86_64
and then ./ was showing a permission error. Had to use sudo
Viewing post in Alien Baby jam comments
Bummer. Thanks for trying! You can run the source code directly with Godot 4.3 if you know how to use it. https://github.com/Mushroom-Queen/AlienBaby
(You can clearly see the last git commit was before the voting period.)