@LeJaMa , firstly, welcome to the forum!
Trail runners are ideal. The Primitivo is only 320kms long, they should last well and then some. The terrain is nicely mixed, more trails than roads until nearer the end.
Make sure you walk in them for a minimum of a couple of days, back to back, to ensure that 1/ they’re comfortable and 2/ there are no manufacturing defects. You can then put them away if you like - trail runners don’t need breaking in.
Personally, I’d continue training in them, and notch up roughly 50 - 100km before putting them away. Including 3 days, back to back, of 15km per day (minimum). Happy? Then you’re good to go!
As
@AK2112 said, your feet will swell ( widthways). So upsize. Do please ensure that they’re at least a half size larger, so that your toes can’t even kiss the front. (you don’t want to loose toenails).
The Primitivo is a wonderful first Camino, I met several first time pilgrims on it last year.
Buen Camino!