It is normal that you cannot dissolve kynurenic acid to a concentration of 1M, because you surpassed its solubility limit. Here you can find useful tips for kynurenic acid solubility limits and on volumes to use to make solutions at desired concentrations https://www.tocris.com/products/kynurenic-acid_0223
You can try to dissolve kynurenic acid in DMSO (Dimethyl Sulfoxide) as solvent followed by heating at 60-70 degree Celsius water bath and vortexing. Then adjust desired solution concentration using NaOH.