Number riddle for the riddle veterans out there: Help needed

1: Banish the last
2: double any single
3: Subsitute the Cross for thrice
4: Infer the contrast
5: While patterned maintain
6: let numbers arise

The instructions above are part of a riddle I am working on. They are the decoded instructions, this is as far as I have gotten.

The instructions need to be followed to convert
XYZ01316 into a 7-digit number.

I know for a fact that double any single means change the 1's to 2's, and subsitute the cross for thrice means change the X to a 3.

Also banish the last means delete the 6.

So, any progress past this would be helpful! (Preferably with a small explanation).

Here is what I've gotten so far:

3YZ0232

Thanks for the help!