Little question: considering the following

Active: Golgotha’s Mirror: ‘Turn to Burn’ 2 Resource Cards,
Golgotha can move up to 12” through Terrain or Models
without any penalties. Golgotha cannot finish her move
in Impassable Terrain. Ignore the CCWR of any Models
she passes using Golgotha’s Mirror, although if she finishes
this move within a CCWR she counts as Engaged.
Golgotha can use this Special Skill to leave combat, if she
does so ‘Free Slash’ is negated. This is count as a Move
Action.

Is it possible to make a close combat in the same turn you use the mirror?

I did it, it looks feasible, but very a dangerous stat for a character this cheap..

Yes. The FAQ states that you don`t need to do Engage to get into CC. You just lose the Engage bonus.

So you use the mirror (counts as move action, which means you can`t use normal move and use 1 AP) and then you can spend the second AP to attack in close combat

"she counts as Engaged"

so why without engaged bonus??? if she travel at last half ot her movment walue of course

Because the engage action is not the same as being engaged. The engage action let you movie into cc and get a bonus to any attack done that turn. And as trikk said, you can get into cc using other movement actions but you lose the engage bonus in that case.

Being engaged is a state, which means you are limited to what action to perform and sets the AP to 1.