It's better to get the water level up and start circulating. By all means add bleach. You may need 2 or 3 gallons to help remove the green from the water.
Start circulating as soon as you have a decent level, and concentrate on the pool chemistry to remove more light green. You may have to go up to 15 ppm Chlorine and maintain it, with the pump running 24/7 until the CC = 0
Then you can add the salt and push it around as you suggest. If you can give us some water analyses, it will help us help you.
Pat
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