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Model ASUS Zen AIO ZN240ICGK-Ra030t. Hello. Can I install a second SSD on this model? or just a replacement instead of HDD?

No, there is only one SATA connector on the main board and there is not enough space to install a second disk. However, you can easily replace the original installed SSHD with a 2.5-inch SATA SSD drive. Check out this guide to better understand how the components are allocated inside the case: Asus Zen AiO Pro Z240IC Hard Drive Replacement