Final answer:
The Moon in its third quarter phase rises around midnight and sets around noon. Hence, it would not be visible from Mexico City at 7:00 a.m. local time, as it would have already set.
Step-by-step explanation:
When considering the visibility of the Moon at its third quarter phase, we have to take into account that during this phase, the Moon rises around midnight and sets around noon. Therefore, any location where the time is around or after noon, the Moon would not be visible as it would have already set. In the scenario provided, you would not be able to see the Moon from Mexico City at 7:00 a.m. local time because the Moon would have set already.
Mexico City at 7:00 a.m. local time is the only location and time combination where the third quarter Moon would not be visible, as in all other listed locations, the time falls within the period between the Moon's rise around midnight and its setting around noon.