Jason Schwartzman, Brady Cunningham

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Jason Schwartzman is building his own grand baby hotel.

Just in time for Father's Day, the actor and wife Brady Cunningham have welcomed their second daughter together, Schwartzman's rep confirmed Tuesday to E! News.

Their baby girl, whose name the proud parents are not yet revealing, joins 3 1/2-year-old sister Marlowe Rivers Schwartzman in the family fold. (Who wants to bet that the new kid's name is Spade, or Chandler?)

No other details were forthcoming, but we'll keep you posted.

Schwartzman, 33, married his fashion designer wife on July 11, 2009, so the couple also have their big 0-5 coming up to celebrate as well!

He most recently reteamed with frequent collaborator Wes Anderson on The Grand Budapest Hotel and played Disney songwriter Richard M. Sherman in Saving Mr. Banks.

Up next, Schwartzman stars in Tim Burton's presumably fantastical drama Big Eyes with Amy Adams and Christoph Waltz, out Christmas Day.

Congrats to the growing family!

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