The error log is probably unrelated, it may have been only due to the fact that I have enabled Ajax Search Lite and Pro at the same time for debugging, those errors should disappear soon.
The issue is on the front-end side, and it is definitely a conflict, but not with the Divi builder luckily. I am guessing that the other plugin may tries to load a script as well as ajax search pro and somewhere it conflicts. I could not see any error messages on the console, so I am not sure where exactly.