Does the prayer become invalid if the worshiper recites many verses with the intention of supplication upon rising from prostration in the prescribed prayer?

The default ruling is that reciting the Quran between the two prostrations is not prescribed. However, it does not invalidate the prayer, based on the hadith of Ibn Abbas: "Indeed, I have been forbidden from reciting the Quran while bowing or prostrating." Some scholars have mentioned that recitation during prostration is permissible if it is intended as supplication. If this is permissible during prostration, then its permissibility while sitting between the two prostrations is even more so. Increasing supplications beyond the prescribed remembrance between the two prostrations is permissible as long as it does not involve sin or breaking ties of kinship.