WooCommerce Product-Category in Product Title

HI

I would like to habe the main product-category of a product in the seo title of the product but I can’t find any taxonomies for that apart from “product_cat” which does not work.

I would like to make the product title looking like:
CATEGORY Picture > PRODUCTTITLE – SITENAME

my try looks like
%%product_cat%% Picture > %%title%% %%page%% %%sep%% %%sitename%%

Unfortunately it does not take the woocommerce category, any advice? ??