Check what mounts they need, I think it's probably from a MK3.
AAZ is straight swap for the most part being a mechanical TD lump if coming from a MK GTD, no silly sensors and no ECU iirc. the 1Z is a TDI so I assume it's more involved but not as silly as a PD, I never really looked into doing it but DH said it would be the better of the two.
Or you can be nuts and do a Franken motor as the yanks call it and mix a 1.5D from a MK1 and 1.6TD from a MK2 (I think you can mix these using a 1.5 block with 1.6 head?) or 1.6TD block with 1.9 AAZ head - try explaining that to an insurance company
* some info is probably wrong, I half heartedly looked at doing it about 2 years ago knowing I couldn't really do it because I had no garage and my GTD was my daily hack.