Plongeuse céleste voleuse

Some instant or sorcery spells require alternative or additional targets if they’re kicked. You ignore these targeting requirements if those spells aren’t kicked, and you can’t kick those spells unless you can choose the appropriate targets. On the other hand, you can kick a permanent spell even if you won’t be able to choose targets for an enters-the-battlefield ability of that permanent once the spell resolves.
Kicker represents an optional additional cost that you may choose to pay as you cast the spell. A spell cast with that additional cost paid is “kicked.”
If you put a permanent with a kicker ability onto the battlefield without casting it, you can’t kick it.
Thieving Skydiver’s ability can target an artifact you already control. You’ll attach it to Thieving Skydiver if it’s an Equipment.
To determine a spell’s total cost, start with the mana cost (or an alternative cost if another card’s effect allows you to pay one instead), add any cost increases (such as kicker), then apply any cost reductions. The converted mana cost of the spell is determined only by its mana cost, no matter what the total cost to cast the spell was.
If the Equipment can’t be attached to Thieving Skydiver, most likely because Thieving Skydiver has left the battlefield before its triggered ability resolves, the Equipment remains attached to whatever it’s currently attached to or remains unattached if attached to nothing.
The control-change effect of Thieving Skydiver lasts indefinitely. It doesn’t wear off during the cleanup step, and it doesn’t expire if Thieving Skydiver leaves the battlefield. In a multiplayer game, it does expire if you leave the game.
You can’t pay a kicker cost more than once.
An ability that triggers when a player casts a kicked spell resolves before the spell that caused it to trigger, but after targets have been chosen for that spell. It resolves even if that spell is countered.
If you copy a kicked spell, the copy is also kicked. If a card or token enters the battlefield as a copy of a permanent that’s already on the battlefield, the new permanent isn’t kicked, even if the original was.