The way to check this out is to look at the the Cartridges
If the have a copper contact strip to the the side/back of the Cartridge and what appears to be a flat/flush base - Then it is an Heads in Cart bubble jet.
If there is no sign of a contact strip- and the base is simply a hole into which a spigot[spike] goes which is in the bottom the carrier chamber- then its a head in machine type.
I suspect all Lexmarks are the former- BubbleJets
So buy the next set of Carts[Third Party]
If you decide on a new printer -dont get Lexmark
They appear to be the runt of the pack as far as quality goes and aftermarked costs.