Yes Zack those blue tablets are the worst thing you can do for a toilet.
That glop floating around in the tank gets sucked down into the internal water passages of the toilet and clogs them up. This prevents the water from coming into the bowl at a fast enough rate to get a powerful enough flush to prevent clogs.
I would find a way to get that stuff out of the tank immediately without allowing it to go through the toilet. I usually use a wet/dry vac but be advised whatever you use will be stained horribly. After removing the glop from the tank check inside the flush valve under the flapper and see if there are any chunks you can remove. Take a piece of coat hanger wire and poke it into each one of the holes under the rim inside the bowl and wiggle it around. Also take a long piece of the coat hanger wire and playing with the bend see if you can push it up the siphon jet hole in the bottom of the bowl up to the rim. With any luck you will loosen up enough of the glop so that flow is restored and the toilet stars working again. Flush the toilet repeatedly while you are cleaning the water ports out with the wire. keep going back and forth hopefully you will get the water flowing properly through the internal water passages again. this may take some time and lots of flushing to heal.
Worst case scenario you will need a new toilet.
This blue glop has ruined many toilets before yours. It is too bad that companies market junk like that.
Pretty much any bowl cleaner that goes in the tank is detrimental to toilets. That is why toilet manufactureres state that if you use in tank bowl cleaners it will void the warranty on their toilets.
If the glop doesn't kill them the added chlorine will eat the rubber components in the tank of the toilet!
If you must use a bowl cleaner try the Fluidmaster Flush~N~Sparkle system. This system hooks into the bowl refill tube from the fill valve to the overflow tube so it goes directly into the bowl without affecting the rubber parts in the tank.
Fluidmaster Flush~N~Sparkle instruction sheet click here to view PDF
If worse comes to worse may I recommend a new Toto Drake II toilets ADA height with Sanagloss glazing model #CST454CEFG This is a great toilet and is probably the best value in the Toto line. This toilet delivers a slammin flush that MaP tested at 800 grams of solids per flush using only 1.28 gallons of water per flush meeting the WaterSense Requirements allowing it to be eligible for rebates in many areas. The Double Cyclone Flushing system offers a bowl wash that is far better than any other 1.28 gallon per flush toilet. List price says $510 but careful buying you can find them selling for $325-350.
Toto Drake II web page