A Melodic minor Scale
The ‘3rd’ form of the minor is Melodic. It can be viewed in different ways as well. If we raised the 7 to create Harmonic from Natural, we can raise the 6 from the Harmonic to get Melodic. Or, raise 6 & 7 from Natural. Or, Melodic minor is just the parallel Major, with a ♭3.
This scale is called Jazz minor when it ascends and descends, as written. It is called Classical minor when it ascends Melodic minor, but descends Natural minor.
A Melodic minor Chord Scale
The plus sign (+) = augmented = ♯5.
Play the chord scale.
Another option for this key, in this position, is moving the F♯ to string 6 and the E to string 4, fret 2. This chord is based on an E form. It could be called Am/F♯ [Am chord with an F♯ in the bass].
We can also use the G♯m7♭5 that we mentioned in Harmonic minor.