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If an ability would produce one or more mana of an undefined type, it produces no mana instead.

Some abilities produce mana based on the type of mana another permanent or permanents “could produce.” The type of mana a permanent could produce at any time includes any type of mana that an ability of that permanent would produce if the ability were to resolve at that time, taking into account any applicable replacement effects in any possible order. Ignore whether any costs of the ability could or could not be paid. If that permanent wouldn’t produce any mana under these conditions, or no type of mana can be defined this way, there’s no type of mana it could produce.

To “tap [a permanent] for mana” is to activate a mana ability of that permanent that includes the {T} symbol in its activation cost. See rule 605, “Mana Abilities.”

An ability that triggers whenever a permanent “is tapped for mana” or is tapped for mana of a specified type triggers whenever such a mana ability resolves and produces mana or the specified type of mana.

A replacement effect that applies if a permanent “is tapped for mana” or tapped for mana of a specific type and/or amount modifies the mana production event while such an ability is resolving and producing mana or the specified type and/or amount of mana.

If an object’s enters-the-battlefield triggered ability or replacement effect refers to X, and the spell that became that object as it resolved had a value of X chosen for any of its costs, the value of X for that ability is the same as the value of X for that spell, although the value of X for that permanent is 0. This is an exception to rule 107.3i.

The tap symbol is {T}. The tap symbol in an activation cost means “Tap this permanent.” A permanent that’s already tapped can’t be tapped again to pay the cost. A creature’s activated ability with the tap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

The untap symbol is {Q}. The untap symbol in an activation cost means “Untap this permanent.” A permanent that’s already untapped can’t be untapped again to pay the cost. A creature’s activated ability with the untap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

As the ability resolves, you can't put the Ogre token onto the battlefield without explicitly giving the attacking player the option to pay {3}, even if the attacking player has forgotten about this ability.

If you're the defending player, Kazuul's ability triggers once for each creature that attacks, not just once per combat. The attacking player chooses whether to pay {3} or let you have an Ogre token each time one of those abilities resolves.

In a multiplayer game, the ability checks whether you're the defending player for each individual attacking creature. For example, if one creature attacks you and two creatures attack another player, Kazuul's ability triggers just once.

If an attacking creature has a "Whenever this creature attacks" ability, that ability is put on the stack first, then Kazuul's ability is put on the stack. Although Kazuul's ability will resolve first, and potentially create an Ogre token, any target of the other ability will already have been chosen at this point, and thus could not have been the new Ogre token.

The ability triggers and resolves during the declare attackers step. If you put an Ogre token onto the battlefield as a result, you may block with it during that combat phase.

You're the defending player if a creature is attacking you, a planeswalker you control, or a battle you protect.