I am new to D&D (5e) and would like to build a Gish character (arcane warrior, mage fighter, battle wizard). There are no house rules. Assume there is already a tank in the party.

Requirements for the character:

 - dual-wielding
 - light armor
 - high Int and Dex
 - arcane spellcasting
 - I want to maximize this kind of character for damage per round.
 - I want to be using my swords at least 65-100% of the time.

**What class should I use to remain a valued member of my party?** Any build that accomplishes this is a correct answer.

I am looking for help with my character. I am trying to avoid divine abilities. The multi-class I am considering right now is an Arcane Trickster - Bladesinger. Other classes of interest include Eldritch Knight fighter, Warlock (with Pact of the Blade), and Sorcadin (Sorcerer/Paladin multiclass). Some of my favorite skills are Acrobatics and Arcana. As for spells, I assume I will need some sort of shield spells (*wall of force*?), spells that are synergistic with my swords (*booming blade* cantrip?), and spells that make my character valuable to others (*suggestion*?). 

Backstory: My character was an orphan on the streets. At the time, he possessed no gift with magic. He was abducted and experimented on by a group of mages. Their goal was to make an artificial sorcerer. Due to their experimentation, he grew an affinity for magic.

Present: He is searching for revenge and has a hard time getting close to people. He is a perfectionist and finds beauty in combat. He always wears a mask to hide his face. He would prefer not to hurt anyone, but if you get in his way, he will kill you.