Which of the following respiration pathways is this bacteria most likely to use?

The bacteria is most likely to use aerobic respiration.

Aerobic respiration is a process that requires oxygen to break down glucose and produce energy. It is the most efficient way for cells to generate energy, and it is used by most organisms, including humans. Lactic acid fermentation, on the other hand, is a process that does not require oxygen and produces lactic acid as a waste product. It is used by some organisms, such as yeast and certain types of bacteria, when oxygen is not available.

The fact that the bacteria is able to survive in the presence of oxygen suggests that it is an aerobic organism. If it were a facultative anaerobe, it would be able to switch to lactic acid fermentation when oxygen is not available, but it would still prefer aerobic respiration when oxygen is present. The fact that the bacteria is unable to grow in the absence of oxygen indicates that it is not a facultative anaerobe.