Hello I am Vauult, I just started game and I want to share my guide with you.

I'd like to say something about summoner spells first.

There is pretty much 3 option you have:
Flash is must
But instead of barrier, you can get ignite, or Ghost, or Heal.

-ignite helps you to get the kill more easy.

-Heal can be used aggresively or to escape quickly and replenish your HP, it works brilliantly with a ganking jungler in your team cuz it also increases the speed of him and heals him.

-Ghost helps you to escape quickly if you are in bad situation. dont use it to chase enemies, it doesnt work well since zoe doesn't have DPS.

-in my opinion, Barrier is the best choice, cuz you will be in mid lane pretty much alone, you have to be a little selfish and keep yourself alive. PLUS, ITS COOLDOWN IS SHORTER THAN HEAL.

There is 3 option here works brilliantly:
-instead of scorch, you can get gathering storm. works brilliant in late game.

-instead of ravenous hunter, you can get eyeball collection. works brilliant if you get kills, and also in late game especially if you slay baron.

-instead of domination, you can get inspiration; magical footwear (OR biscuit delivery if you play really aggressive) + cosmic insight. so you'll be able to access main boots earlier or you can poke more and damage more to minions or enemy champions, and you will have more CDR (cooldown reduction) so you can spam paddle star more often.

other than that, you can choose runes like this if you want to be so annoying:
1ST lane: INSPIRATION; Unsealed spellbook, magical footwear, biscuit delivery, cosmic insight
2ND lane: SORCERY; Manaflow band, Transcendence. (instead of transcendence, you can choose scorch or gathering storm, always option, but CDR is the key that makes you so annoying)

why?

Unsealed spellbook helps you to change summoner spells, so you can pick ignite as starting spell, get kill, and switch to teleport to jump around the map, and then "barrier" or heal for mid/late game.