Nicely done so far.
A word of warning though, all the blue steel wire that I've bought has been very hit and miss. The sizes aren't super accurate and especially the hardness varies a lot. A few hundreths of a mm won't make any practical difference in a clock this size, but I'd be more worried about the heat treatment of the wire.
A lantern pinion won't be ideal no matter what you do, but it certainly is good enough. However it is important that the wheel tooth form is corrected and the depthing done properly to ensure as smooth engagement as possible.