No. I speak Eastern Armenian, but I'm sure the same goes for the Western dialect too. In fact, in Armenian spelling there's no "e" between the "g" and "s" in "myriges" (my mother)*. The "e" you got there represents the speaker's attempt to kinda smooth their way through "gs", and the resulting subtle sound is way different from what you put (and write!) in "myrig es" (you're a mother), which is louder and stressed as in "my-reeg-AS". Hope this helps.
*It's spelled "mayriks" in the Eastern Armenian. Looks like k's of the Eastern became g's in the Western Armenian.