yes, it is related to أبرز which means "show it, or make it shown after it was hidden"
so what about ته
the firs letter ت called "ta" of the speaker, so
ابرزت means "I showed it"
the ت is for me "I"
the "ha" ه connected to the ta refer to the object shown it is the "it" in the sentence "I showed it"