After I cloned the repository. I found that it needed 'local:IntegratedDynamics:1.18.2-1.13.3', but of course I could not find where to get that.

after commenting it out, the project would not build because com.tom.peripherals.gpu, com.tom.peripherals.api and com.tom.peripherals.math does not exist.

You have to download the api project https://github.com/tom5454/Toms-Peripherals/tree/api and put into the TomsPeripherals folder. Put it next to the main project folder. If you would like to build the fabric version you have to change the source set to point at the Forge folder.