AI isn't boosting productivity unless it creates people more time and leverage to solve issues in the real world, like energy. it might lead to that but it's not the productivity gain by itself

helping people build faster saas products is marginal at best

printing books also wasn't a direct productivity boost but it did accelerated industrialization, so AI is still promising in this regard, but writing faster code to handle saas isn't what leads humanity forward and won't be visible in GDP any time soon

the actual breakthroughs are still pending