Basque Tour El Camino Hike--Type of shoe ?

Depends on the section, the load on your back, and where you need to be. Here are four of about one hundred sites about choosing the best gear for the Camino. Apparently, none of the savvy trekkers wear boots these days. Trail runners for rough terrain, just regular ol’ shoes everywhere else.
https://followthecamino.com/en/blog/choosing-the-best-walking-footwear-for-your-camino/
https://www.caminoadventures.com/blog/best-hiking-shoes/
https://trailtopeak.com/2022/04/02/10-best-trail-shoes-for-pilgrims-walking-camino-de-santiago-2022/
https://marlycamino.com/what-is-the-best-footwear-to-walk-the-camino-de-santiago/

I wore a city type walking shoe with no tread and did ok, although I wished that I had brought a better shoe. I had planned to wear athletic sandals, but the guide advised a closed toe shoe for the first section. The walk was done in three sections. The first section of the tour was downhill and had some loose rocks. It started at Alto del Perdon. Hiking boots would have been great, but think a walking shoe with a bit of traction would be fine. I did buy a hiking pole in St Jean Pied de Port which was helpful given my poor footwear. The last two sections were flat and a portion of that was paved, so I changed into a pair of athletic sandals for those two sections. No special shoes were needed for the last 2 sections. We ended at the church Santa Maria de Eunate.

It is a great tour.

What Laura said. First Part is a bit of rock scrambling. The rest is flat.

It's a great tour.

we did it May, and had low cut Hikers, but, more importantly, Hiking Poles for the down hill section which was pretty rocky. Many of the others had what I would call waking shoes and no poles and for them it was a struggle through the first down hill section. After that, it was pretty flat. Carry plenty of water.

Thanks so much for all of the great advice--we are excited for the hike and the trip in general!!