The Prophet ﷺ ate of the meat of a shoulder (by cutting the meat with his teeth), and then got up and offered the prayer without performing the ablution anew. (Using translation from Bukhārī 5404)
إِنَّ رَسُولَ اللهِ ﷺ تَعَرَّقَ كَتِفًا ثُمَّ قَامَ فَصَلَّى وَلَمْ يَتَوَضَّأْ