My advice for the best hope of recovery with a green light charger, is to unplug charger when green light illuminates, and load battery until voltage drops below 12.6v, then restart charger, then remove load.
Lather rinse repeat.
Even if you get all 6 cell's Specific gravity to the 1.275 range, and it rests at 12.77 volts 24 hours after removal from charging source, it is still likely very capacity compromised.
It is like a shrinking gasoline tank. you can still fill it up to overflowing, but when new it held 20 gallons, now it might only hold 8 gallons, and it will never hold 20 gallons again despite the marketing mumbo jumbo on the charger's website.
But to even get it to hold 8 gallons will likely require the lather rinse repeat trickery cycle, and could ultimately be a waste of time and electricity. But it could be a good learning experience if you get familiar with manipulating your green light charger and dipping a hydrometer and watching a voltmeter as you apply the load to reduce voltage when tricking the green light charger into resuming the attempt to hold and maintain absorption voltage.
A group 27 flooded battery will likely have 'deep cycle' plastered on its sticker, but it is at best a marine battery, closer in design to a starter battery than a true deep cycle battery. Flooded 27's are Much harder to fully charge, requiring longer times at higher absorption voltages, and much less resilient to over discharge or less than full recharges.
But the 'just finers' will crawl out of the woodwork claiming how much battery life they get from them. In another thread they might also post that their MPGS are twice everybody else's, and that their flatulence smells like roses. Their arms are frequently in slings from spraining them patting themselves on the back.