This is a single arm, multi-part, phase 1/2 global trial studying TYRA-300, a novel, potent fibroblast growth factor receptor (FGFR) 3-selective tyrosine kinase inhibitor, in advanced/metastatic urothelial carcinoma of the bladder and urinary tract, that contain activating gene alterations of FGFR3. Phase 1 is a dose-escalation study to evaluate the safety, tolerability, and PK of TYRA-300 to determine the optimal and maximum tolerated dose (MTD) and recommended phase 2 dose (RP2D). Phase 2 will evaluate the preliminary antitumor activity of TYRA-300 in cancers with FGFR3 activating gene alterations, including locally advanced/metastatic urothelial carcinoma of the bladder and urinary tract and other advanced solid tumors.