It may just be too concentrated.
I use a dilute vinegar to lye, xylene extraction protocol for cactus and upon adding the base + solvent and cooling to room temperature it will turn to something resembling chocolate pudding if I had made it too concentrated. Some people counter this by adding a huge excess of lye, enough to hydrolyze the colloidal polymers, but I regard that as wasteful and dangerous so I just dilute it with salty water while still warm if its too concentrated. I doubt lime saturation would work well in breaking the colloid anyway so dilution may be your only option. Resist the urge to just heat the reaction mixture up to the temperature of coffee unless you want your house to stink like solvent, I've made that mistake with xylene. Repeatedly
Sex toys and salt may help resolve emulsions but I've never seen them reduce the viscosity of a too-concentrated based brew. Figure out the needed dilution for making your extraction protocol work, and then restrict your extractions to a quantity that leaves you working with practical volumes.
I'd love to extract a kilo of cactus chips at a time, but practicality leaves me doing 400 gram extractions. But its still better than fighting caustic pudding.