Hi Tony Kim,
The article - Selection of SPI Flash Compatible with FX3/CX3/FX3S/FX2G2/SD3/SD2 and the Recommended Cypress SPI Flash Parts - KBA221833 helps in SPI Flash selection.
MT25QL128ABA1EW9-0SIT satisfies all the mentioned criteria. MT25QL256ABA1EW9-0SIT exceeds 128Mbit - But from the datasheet the default behavior will be similar to 128Mbit version with 3-byte addressing - so this should work too. However, please do test the 256MBit part.