Hi,
The STCS2A is a linear regulator, dependent on the total Vf you'll need to dissipate at lot power.
Worst case scenario: Vf =9 V, total voltage across the led's 27V , the voltage across the regulator is 9V.
Power dissipation of the STCS2A (9V*1.05A) = 9.45 W, so you'll need a heat sink.
If Vf =12V the regulator won't work because the voltage across the regulator needs to be 0.58 V (typical) or more.
You may have a look at switch mode led drivers