I agree with everything Picard has said -- except the part about needing to watch it.  It's now so famous,  you can just read the plot summary online and skip the drama (and the glorification, because despite the objection to that term by the producers, Picard has the guts to call a spade a spade).

For sure, suicide is an important topic to discuss with kids.  More importantly (if lots of teens are watching it) is to communicate how suicide doesn't score revenge points -- lest teens think suicide solves anything!   Want justice?  Go to the police if you get victimized, get to see your perpetrator sentenced in court, double-down and sue them in civil court too (that's _real_ revenge).  If you kill yourself you just get forgotten eventually and lose your voice.