Does the bonus apply to its own recharge, or is it considered to be out of play as soon as the end of turn starts? I've been assuming it does not apply.
For Brilliance (if you're an Int caster,) Sagacity (Wis,) and Glibness (Cha,) if you've played the card on yourself, yes.
The card is in play until you dispose of it - so as its last act, it gets to affect its own disposal. :)