The 48-LQFP package (7x7 mm) is hand-solderable with reasonable care — a fine-tip iron and flux, no hot-air required.
Finding a replacement path
Because the STM8AL3188TAX is obsolete, the practical question is what to drop in its place. The STM8AL3188 (without the 'TAX' suffix) is the same base part number and shares the same core, memory map, and peripheral set — but the exact suffix difference may indicate package, temperature grade, or qualification variant. Without an official STMicroelectronics cross-reference document, the safest approach is to compare the full datasheet parametric tables for the STM8AL3188 variant against your BOM requirements. The 48-LQFP footprint, 16 MHz clock, 64 KB Flash, and AEC-Q100 rating are the anchor specs a replacement must match.