I solved the issue.
Though the message:
There was a problem reading the entry module-info.class in the jar C:\...\asm-analysis-6.2.jar - probably a corrupt zipWas not the problem that led to the crash at the end of the log I provided which was the error:
net.minecraftforge.fml.common.LoaderExceptionModCrash: Caught exception from Forge Mod Loader (FML) Caused by: java.lang.NullPointerExceptionMore likely the problem is that Intellij 2023 doesn’t download the dependencies provided in the build.gradle automatically anymore.
For me the easiest fix was to downgrade to Intellij 2021 but I think anything under 2023 will also work.
For more information about this particular issue can be found here: https://github.com/quat1024/modern-forge-1.12-template/issues/2