Upgrading Memory Core to lvl 2 and 3, I have the option to "deal +x cards"
When do I deal the cards?
During the draft, you normally draw 5 and your group picks 4 cards. (You slot or scrap the card(s) that you draft.) When you have a memory core and you are the first player, you allow your team to draw more cards so that you have more to choose from - but your team will only ever pick up four total.
What types of cards do I deal?
Command Cards during the draft phase.
Who gets dealt the cards?
The entire group 'gets the cards. Memory core gives your team more options to choose from.
When and how do I use said cards?
You draft and slot (or scrap) the cards as normal.
As you level up Memory Core, it provides more cards to the draft, but that effect only happens when you are the first player. But a leveled up Memory core still levels up its turning flexibility similar to other turn cards.
Hope this helps.