Buckingham failed to stop this man's siege of La Rochelle, and this man withstood one conspiracy led by Gaston d'Orleans and Cinq-Mars, while another, the Day of the Dupes, resulted in him winning a power struggle over Marie de' Medici.  
This man sent troops to deal with the Spanish capture of Casale, and refused to sign the treaty of Regensburg.  He followed the theory of Antoine de Montchrestein, enacting the Code Michaud for regulation of trade.  Buckingham failed to stop this man's siege of La Rochelle, and this man withstood one conspiracy led by Gaston d'Orleans and Cinq-Mars, while another, the Day of the Dupes, resulted in him winning a power struggle over Marie de' Medici.  For 10 points, name this man who formulated policy during the Thirty Years' War, a minister to Louis XIII and priest known as "The Red Eminence."
This man sent troops to deal with the Spanish capture of Casale, and refused to sign the treaty of Regensburg.  
Cardinal Richelieu [or Armand-Jean du Plessis de Richelieu, Cardinal-Duc de Richelieu]