Riiight….
well, may be useful to invest in a 3MT centre in case you want to turn BC in future but also for checking your tailstock centre alignment for general work. When my minilathe came out of the box, the tailstock was way out of horizontal alignment and my first piece of parallel turning was a gentle taper!
Centre drills are not to expensive, best to get a few in a selection of sizes for future use.
Check the size of the fixed steady to be sure it will admit your 1.5 inches diameter – I opted not to purchase the factory device as it seemed too small to be useful, but it might just take your project.
As I suggested, you can avoid using a steady (because in this case it is only used as a convenient way to locate the centres for drilling).
Instead, you can use a centre finder to scribe 3 or 4 lines at as even spacing as you can eyeball across the face of the bar. Then centre punch as close to the centre of the resulting triangle as you can judge. You can either use a bench drill to centre drill the recess, or you can set up in the lathe chuck and manually guide the work bar on to the tailstock chuck and drill the centre recess as best you can.
If you don't have a centre finder, it is a bit more tricky but it is not impossible to scribe the bar face by careful measurement with a rule, plate and scribing block, or even just odd leg calipers (piece of glass will do as a surface plate).