You still draft the card that you remove. This may matter if an ability refers to "the next card you draft" or similar. If that card instructs you to draft it face up, do so, then turn it face down as you remove it. If that card instructs you to reveal it as you draft it and then perform additional actions, perform those actions before turning the card face down and removing it from the draft.
2014-05-29
wotc
You can't remove cards from the draft that you've already drafted. Only cards drafted after you draft Cogwork Grinder may be removed this way.
2014-05-29
wotc
No other player may look at the cards you remove from the draft (unless Cogwork Spy allows a player to).
2014-05-29
wotc
If you draft multiple Cogwork Grinders, the value for X will be the same for each of them. It doesn't matter that some of the removed cards may have been removed before you drafted the second Cogwork Grinder, for example.
2014-05-29
wotc
If a Cogwork Grinder owned by another player enters the battlefield under your control, the number of counters it enters with will be based on the number of cards you've removed from the draft with Cogwork Grinders, not the number its owner removed. Unless you also drafted Cogwork Grinder, this will be 0.
2014-05-29
wotc
A card that is removed from the draft isn't in any player's card pool. That card can't be played in any games associated with that draft.
Format Legality
Standard
Not Legal
Future
Not Legal
Historic
Not Legal
Timeless
Not Legal
Gladiator
Not Legal
Pioneer
Not Legal
Modern
Not Legal
Legacy
Legal
Pauper
Not Legal
Vintage
Legal
Penny
Not Legal
Commander
Legal
Oathbreaker
Legal
Standardbrawl
Not Legal
Brawl
Not Legal
Alchemy
Not Legal
Paupercommander
Not Legal
Duel
Legal
Oldschool
Not Legal
Premodern
Not Legal
Predh
Not Legal
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