You Do Need power plug adapter while traveling from Lebanon to Mexico.

Here is Why You Need An Adapter

The outlet and plug type used in Mexico are A and B and in Lebanon are C, D and G. This is how they look like.

Lebanon

In Lebanon, outlets of type C, D and G are in use.

Type C

Type D

Type G

Mexico

In Mexico, outlets of type A and B are in use.

Type A

Type B