Does his saying (PBUH), "from the the breast" indicate that it is not forbidden for a child to drink milk extracted into a vessel?

The prohibition is not limited to direct breastfeeding. The Prophet's (peace be upon him) saying, "Nothing prohibits from suckling except that which rips the intestines in the breast and was before weaning," does not mean that the prohibition is confined to consuming milk directly from the breast. Rather, "in the breast" means during the period of suckling. Other hadiths state that "Suckling prohibits what birth prohibits" and "Suckling prohibits what lineage prohibits." This includes direct breastfeeding from the breast, drinking milk expressed from a woman, or through nasal instillation (pouring milk into the nose) or oral administration (pouring it into the throat), provided that there are five known sucklings before weaning.