Replaced the relay and no change. Have swapped to known working: coil and ignition module. I am getting spark to the plugs. This happened quite randomly when I was making a standard left turn.
I am quite sure its an issue with fueling. I just have not gone through the troubleshooting of the fuel system. (Sat over winter, not very motivated with a gravel driveway).
I can hear the pump running despite the relay buzzing. I have also bypassed the relay at the fuse box and this does not change anything. I am thinking a bad ground wire somewhere?
Why would the fuel pump relay buzz? Undervolt protection?
First symptom with the left turn points to the in-tank transfer pump or pickup. That'll strain/kill the main pump in short order. As it is, either the bad transfer pump or overloaded main pump is likely causing your relay to buzz.
Check / replace the transfer pump / pickup in the tank and go from there. There's an access window in the trunk I believe.