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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.

You can't move only some of the counters from The Ozolith onto the target creature.

+1/+1 counters on The Ozolith have no effect unless it becomes a creature. Keyword counters on The Ozolith will grant it keywords that may have no practical effect. For example, flying on a noncreature artifact is just strange, but hexproof on a noncreature artifact is entirely useful.

If The Ozolith leaves the battlefield after the last ability triggers but before it resolves, you can't move any counters from it onto the target creature.

The Ozolith's first ability doesn't move counters off the creature that's left the battlefield. Rather, you put the same number of each kind of counter the creature had onto The Ozoloith. Notably, if you somehow control a second The Ozolith, each one will receive the same number and kinds of counters that were on the creature that left the battlefield. Similarly, if the creature has an ability that triggers when it leaves the battlefield that refers to the number of counters it had, that ability will use the number of counters that were on the permanent, even if The Ozolith's first ability resolves first.

As The Ozolith's last ability resolves, you choose whether to move the counters.

If the target creature is an illegal target by the time The Ozolith's last ability tries to resolve, the ability won't resolve. You won't remove any counters from The Ozolith.