Here's what you need to, and you can thank me later.
Crack open each bleeder screw. Run some fluid through, working the brake lever vigorously (hey that's a big word!
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Anyway, do that on both side for, say, 2 or 3 re-fills of the master cylinder.
Right now, you have a LOT of air in the system. Doing this will get rid of a lot of it, and when you close the screws and start the actual bleeding process, you will find it to be much more productive.