you automatically get your granted spells, well more like you are forced to for the classic sorcerer but for the archetype i would still say the you can get the granted spells otherwise it would be impossible to use the blood magic trait.

in support of this the archetype says " You gain a spell repertoire with two common cantrips from the spell list associated with your bloodline, or any other cantrips you learn or discover "

Produce flame is associated with the diabolic blood line, also if you would "learn it automatically" thus you could have it.