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You might try pulling the fuel pump relay and doing the flush while an assistant cranks the starter. As pawpaw indicated in his post, with the engine running the pump turns too fast.
Disconnect the return hose to your reservoir and drain it. Plug the end of the reservoir. Put the return hose in a bucket, you might have to attach a extension hose to it using a hose barb. Jack up your front wheels off the ground. Fill your reservoir with new fluid. Start your engine and turn your wheels back and forth all the way to the right and left. Keep adding more fluid and continue this process until you see clean fluid going into the bucket. Stop engine and reattach return hose to reservoir, start engine check fluid level, Done!