I’m not familar with these particular machines, but normally you should be able to fit a faceplate (or driving plate) and still put a centre in the spindle hole. There should be a hole in the middle of the plate large enough to accomodate the centre. What happens next depends on the style of the faceplate and the drive dog. Some dogs have a bent tail that engages with a slot in the faceplate. Some dogs have a straight tail, and you need to bolt a stud onto the faceplate/drive plate at a suitable location to engage with the tail. The idea is for the connection to not be too rigid, since it is the centre that is supposed to determine the location, not the dog. It is quite common to wire the dog to the driving stud, especially if you are going to cut screw threads, since you don’t want the job to rotate part of a turn independently from the drive plate.
If it is meant for a driving plate, it will probably have slots right through to accomodate a dog with a bent tail. If it is meant for a faceplate it may have t slots.
Back in the day when you bought a lathe all you would get, unless you paid extra, was two centres, a driving plate, and a drive dog. That was how the Unimat 3 came when I bought mine nearly thirty years ago, although I bought plenty of extras too. I have seen people criticise the aluminium “faceplate” that came with the Unimat, this is a bit unfair since it was only ever intended as a drive plate. The actual faceplate was an extra, it is a solid cast iron item with four t slots.
Turning between centres is a very useful thing to do for parts that need to be machined all over and need to be concentric, like spindles.
regards
John