Breeding scarce vampires

If I breed via for example the embrace from a scarce vampire (say, a true brujah) - does the new vampire become scarce as well (forcing me to pay the scarce penalty)?

If I have bred some vampires from a scarce clan (sau true brujah), when I later influence out a new "real" true brujah vampire, do I need to pay the scarce penalty for all my mini-vampires as well, or only for my "real" true brujahs?

Scarce: When a Methuselah moves a scarce vampire from her uncontrolled region to her ready region during her influence phase, she must burn 3 pool for every other vampire of the same clan already in play.

Pagan wrote:

Scarce: When a Methuselah moves a scarce vampire from her uncontrolled region to her ready region during her influence phase, she must burn 3 pool for every other vampire of the same clan already in play.

That should answer question number 2, but question one still remains

No clan is Scarce by default, just some happen to all be scarce. The Embraces(or other) baby vamps will not be scarce, but as above they are counted when influencing up a scarce vampire of that clan.

Pagan wrote:

No clan is Scarce by default, just some happen to all be scarce. The Embraces(or other) baby vamps will not be scarce, but as above they are counted when influencing up a scarce vampire of that clan.

Correct.
Unless cardtext says so, a vampire isn't Scarce.