Error: Could not find or load main class org.brainstorm.RunCompiled
This means that the compilation process did not finish correctly.
Fix your scripts, run the compilation again, then try to execute it on the computer where it was compiled before copying it anywhere else.
If you compile with Matlab 2022b, you don't need to install the Runtime 9.13, it would use the existing install of Matlab.
I just tested 'bst_bin_R2022b_230130.zip' downloaded from the bottom of https://neuroimage.usc.edu/bst/download.php , but there still existed an error:
The error "Dot indexing is not supported..." is comping from your script, not from Brainstorm.
You need to fix your script first. Make it work on your full Matlab install before trying to make it work in a compiled environment.
I'd also recommend you start by trying to compile and run a non-modified version of Brainstorm before trying to make your custom scripts work, at least to rule out any possible error that are strictly related to your compilation environment.