looks like Mexican Heather

Yes, Cuphea hyssopifolia

Here is a link that might be useful: Cuphea

It was a perennial when I lived in 9a Florida. The winters zapped it some. I just gave it a hair cut in the spring and it came back even thicker. It blooms all the time.

According to carol23's link, Mexican heather grows in USDA Hardiness Zones 9-11. zackey said it took minor damage in his zone 9a winters (the colder part of zone 9).

I don't know much about Lebanon's weather, or exactly where in Lebanon you live, but I can tell you that zone 9a's average low winter temperatures are 20 to 25 degrees Fahrenheit, which in Centigrade is -6.7 to -3.9 degrees.

So if your area's winter weather gets below that, this plant would need to be grown indoors -- or moved indoors when the temperatures are below -3.9 degrees Centigrade. (You could also move it into a sheltered outdoor area which would not get below -3.9 degrees -- maybe a garage or shed.)

Being in a pot it's much more susceptible to cold injury to the roots. I'd bring it in in any subfreezing weather on that account. Does well in zone 8b at least and only dies out in a once a decade arctic blast. Mobot is off on hardiness of most subtropicals in any event.