Sec.  3.  How  appeal  taken.  –  (a)  The  appeal  to  the  Regional  Trial Court, or to the Court of Appeals in cases decided by the Regional Trial Court in the exercise of its original jurisdiction, shall be taken by  filing  a  notice  of  appeal  with  the  court  which  rendered  the judgment  or  final  order  appealed  from  and  by  serving  a  copy thereof upon the adverse party.
 
(b)  The  appeal  to  the  Court  of  Appeals  in  cases  decided  by  the Regional Trial Court in the exercise of its appellate jurisdiction shall be by petition for review under Rule 42.
 
(c)  The  appeal  to  the  Supreme  Court  in  cases  where  the  penalty imposed  by  the  Regional  Trial  Court  is  reclusion  perpetua,  or  lifeimprisonment,  or  where  a  lesser  penalty  is  imposed  but  for
offenses committed on the same occasion or which arose out of the same  occurrence  that  gave  rise  to  the  more  serious  offense  for which    the    penalty    of    death,    reclusion    perpetua,    or    life
imprisonment  is  imposed,  shall  be  by  filing  a  notice  of  appeal  in accordance with paragraph (a) of this section.
 
(d)  No  notice  of  appeal  is  necessary  in  cases  where  the  death penalty is imposed by the Regional  Trial Court.  The same shall be automatically  reviewed  by  the  Supreme  Court  as  provided  in section 10 of this Rule.
 
Except as provided in the last paragraph of section 13, Rule 124, all other appeals to the Supreme Court shall be by petition for review on certiorari under Rule 45.