No need for further water test tapping the primer at risk of melting down a cylinder. I'd make a plan to remove carburetors,one at a time ,and dismantle and thoroughly clean all fixed orifices and insure all passageways are clear and free of any restrictions. Best to obtain a rebuild kit for this process. The follow up would be to adjust the link and synch of each once complete and go from there. I use indexed torch tip cleaners for clearing of passageways as you can select one of close dimensional size and then soak and blow clear the residue.