No fuel pressure

Remove the fuel line from tank side of the fuel filter , operate the fuel pump if a good flow pump is ok , if no flow pump is faulty or fuel line is blocked , refit fuel line to filter, remove delivery fuel line from fuel filter, operate fuel pump, no flow replace filter, good flow check for blockage in delivery line,

you need to check your fuel pump pressure sounds like it losing presuure

Check your fuel cap, make sure the seal is still on the cap and not damage.

if it shuts off while driving down the road. and restarts after 10 minutes, its usually a bad crank sensor that does this. it messes up timing and shuts off fuel supply.

Fuel pressure test is usually carried out with the engine off by bypassing the fuel pump relay.

If the cutting out is caused by anything covered by the engine management a code should be stored in the obd memory. I suggest you have a code read first.

check the fuel PUMP pressure, sounds like its losing pressure and tries to keep up

could be fuel pump check fuel pressure when it dies

With these new cars, with the multiport fuel injection systems. The line pressure is over 33psi. You have to test the line pressure to make sure it isn't the fuel pump or fuel pressure regulator.
You will need to verify that the car is getting good spark to the plugs and fuel to the cylinders. If there are any other symptoms let me know.

ck fuel pressure with fuel pressure gauge at fuel rail,,there should be a black cap on fuel line or rail on top of motor,,or u mite have a spark issue ck that to,,coil,,modular,hoped it helped,,

Check fuel flter at fuel pick-up intank (looks like a small wire sock). Remove fuel filter and fitting at fuel rail. Blow out fuel lines w/about 35lbs air press. Ck electrical @ relay - should be 4 connectors - one is key on hot/one is always hot/one is ground and last is hot to fuel pump. Good Luck