My last Commodore 64 sported a cassette, not a floppy. This must be a much newer version.
The floppy was like the cassette, a separate unit. I had both, and a dot matrix printer. It took the big floppies.
The floppy drive is an optional peripheral. I had a TI-99/A, very similar, the cassette was built in, but you could buy an “expansion module” that had some RAM and a floppy drive.
Commodores 1982-1994
This one towards the end