Is it more correct to say, "O Allah, bless our Master Muhammad," or "O Allah, bless Muhammad" in the Ibrahimiyya prayers, and is it permissible to avoid standing in prayer next to a worshipper or an insane person with dirty clothes?

It is not prescribed to add the word "Sayyidina" (our master) in the Abrahamic prayer (Salat al-Ibrahimiyya), and it is better to omit it. There is no harm in avoiding standing next to someone whose clothes are dirty, especially when there is a fear of one's own clothes becoming soiled or if there is a foul odor. It is appropriate to gently and wisely advise anyone who comes to the mosque with dirty clothes about the necessity of cleanliness and adorning oneself for the mosque.