Do I have to recycle Rune for the Quick Draw equip effect?

No, you do not need to recycle a rune to pay the Equip cost when using Quick-Draw.

When you play an Equipment card with Quick-Draw, you bypass the Equip cost entirely. Here is the breakdown of how this works:

1. Play Cost: You must still pay the Energy and Power costs printed in the top-left corner of the Equipment card to play it from your hand.
2. No Equip Cost: Because the Equipment has Quick-Draw, it gains the triggered ability: "When you play it, attach it to a unit you control." This ability attaches the Equipment for free, meaning you do not pay the Equip cost listed in the card's text box.
3. Regarding "Recycle": You only need to recycle a rune if the specific Equipment card you are playing has a cost that explicitly requires recycling (such as Last Rites). If the Equipment's Equip cost does not involve recycling, you do not need to recycle anything.

In summary, Quick-Draw allows you to attach the gear for free as part of playing it, bypassing the standard Equip cost.