In a stand mixer fitted with the paddle attachment, combine the flour, eggs, water, and grapeseed oil and mix on low speed for 1 minute. Increase the speed to medium and mix until the dough comes together, 2 to 3 minutes. Increase the mixer speed by one setting and continue mixing until all of the ingredients are thoroughly combined and a tight dough ball forms, about 5 minutes. (If the dough feels too dry, add an additional 1 tbsp water.)
Remove the dough from the bowl, wrap in plastic wrap, and let sit at room temperature for 1 hour. (The dough can also be wrapped and refrigerated overnight; bring to room temperature before continuing.)
Lightly flour a work surface. Unwrap the dough and cut it into four equal portions. Place one portion on the floured work surface and roll out to ¼ in/6 mm thick. (Alternatively, following the manufacturer’s instructions, roll out the dough on a pasta machine.) Using a pizza cutter or a knife, cut the dough sheet into diamond shapes about 1 in/2.5 cm long. Transfer the diamonds to a sheet pan and dust lightly with all-purpose flour. Repeat with the remaining dough portions.
Fill a large pot three-fourths full with water, season the water with enough salt to make it almost as salty as seawater, and bring to a boil over high heat. Drop in the noodles, stir to prevent them from sticking together, and cook until tender, 4 to 5 minutes. Drain the noodles and serve as desired, or toss with a little oil and reserve until needed.