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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 control one legendary Jace, Cunning Castaway in addition to any number of nonlegendary copies of Jace, Cunning Castaway.

The tokens created by Jace's last ability don't have the legendary supertype. If another object becomes a copy of the token, that copy also won't be legendary.

If a token created by Jace's second ability becomes the target of a spell, its ability triggers and goes on the stack on top of that spell. The ability will resolve first (causing the token to be sacrificed). Unless the spell has another target, it will then be countered when it tries to resolve for having no legal targets.

The tokens from Jace's last ability copy exactly what is printed on Jace and nothing else. They don't copy how many counters are on him or Auras attached to him, or any non-copy effects that have changed his color or types, and so on. They'll each enter the battlefield with three loyalty counters. You can activate one loyalty ability of each of the tokens this turn.

The delayed triggered ability created by Jace's first ability can trigger more than once in a turn if creatures you control deal combat damage at different times in a turn (most likely because one or more has first strike) or if creatures you control deal combat damage to more than one player at once.