Thank you for your investigation so far! I'm glad to hear such good news!
And, I also tried to use ldd command to check depended libraries. But, maybe there is no broken library linking.
$ ldd Memao\ Sprite\ Sheet\ Creator.x86_64
linux-vdso.so.1 (0x00007f3d878c0000)
librt.so.1 => /lib/x86_64-linux-gnu/librt.so.1 (0x00007f3d878a0000)
libpthread.so.0 => /lib/x86_64-linux-gnu/libpthread.so.0 (0x00007f3d8789b000)
libdl.so.2 => /lib/x86_64-linux-gnu/libdl.so.2 (0x00007f3d87896000)
libm.so.6 => /lib/x86_64-linux-gnu/libm.so.6 (0x00007f3d877a6000)
libc.so.6 => /lib/x86_64-linux-gnu/libc.so.6 (0x00007f3d875b0000)
/lib64/ld-linux-x86-64.so.2 (0x00007f3d878c2000)
Because I'm not familiar with Godot framework, I'm not sure other additional necessary libraries or software, sorry. If I can check such other libraries, I will report to you.
And, I joined the Discord to try the beta build. My account has the same name "toyamaguchi". Thanks.