Hi and welcome!
Any idea what the CYA reading was at closing last fall? Some pools open with HUGE chlorine demands. You think your FC is never gonna hold and then finally it does. With a CYA of 60, you need to be shocking up to 20ppm and try and hold it there. In a 23K pool, each 5 gallon jug of 12.5% liquid chlorine will add about 27ppm of chlorine. That is actually a little higher than you want but since it is not likely to stay that high for long with your huge chlorine demand, it probably won't hurt anything. (Is this a vinyl or gunite pool or ??) If it's vinyl, you might want to only use 4 gallons at a time. (Each gallon will add a little more than 5ppm.) Keep hammering it hard with the liquid chlorine.
Your teststrips are most likely getting bleached out at the high cl levels. You really need to get a good kit. See the Amazon link in my signature below to pick up a Taylor K-2006 or 2006C kit which is the one we recommend. Only buy if the seller is Amato Industries. Other sellers may substitute the K-2005 which you do NOT want. With a CYA of 60, even when you get past this high chlorine demand stage, you're gonna need to keep the cl between 5-10ppm all the time or you'll risk an algae bloom. So you're gonna need a kit that can test that high.
Run your pump 24/7 and backwash as needed.
By the way, don't use any dichlor shock or trichlor pucks. They are both stabilized and will cause your CYA to climb higher which is something you do not want.
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