Does a bleeding wound on the face after performing wudoo’ (ablution), caused by shaving, invalidate the wudoo’?"

"Praise be to Allah, and blessings and peace be upon the Messenger of Allah, his family, and his companions. To proceed:

Blood coming out from places other than the two passages does not nullify ablution according to the correct opinion, and this is supported by numerous evidences, including the fact that Muslims used to pray with their wounds, and the incident of the Battle of Dhat al-Riqa where a man was struck by an arrow and continued his prayer, as well as the instance when Ibn Umar squeezed a boil resulting in blood but did not perform ablution. No evidence has been provided that blood coming out from places other than the two passages nullifies ablution, whether it is little or much.

Regarding shaving the beard as mentioned in the question, it is forbidden by law due to the command of the Prophet, peace be upon him, to let it grow and to leave it.

And Allah knows best."