I suffered from depression for years. All better now. It CAN be done.
This is not the advice of AYP, just my own (based in heavy experience): I strongly recommend a vigorous regimen of asana, especially inversions and backbends. Avoid seated forward bends. And if you suspect that your depression is worsening over time, suspend AYP (Yogani disagrees, but classical hatha yogic opinion is that meditation worsens severe depression, and if you're suicidal, don't take chances!!). Use asana to invigorate yourself and work through the coarse blocks, then, when you are more open and stable, come back to AYP to work through the finer blocks. That is the classical purpose of asana: to straighten out body/health/energy problems in prep for deeper work.
Five years ago I hit a bad, bad point...maybe even worse than you could imagine. I did four years of very heavy asana work - 60-90 minutes a day, plus two classes a week. I lived and breathed asana (plus aerobic exercise..that's important, too). It brought me back, and it literally put me back together again (I had been completely shattered inside). And then - and only then! - I started AYP, and was so primed from all the asana work that I made fast progress. It was absolutely the right way to do it. There was absolutely no other way to do it. I'm currently happy (and believe me: I don't use that word lightly!), and am living through something right this sec that is even worse than the shattering experience five years ago. But it can't touch me.
Yoga fixes depression...in time. And the way it does this is complex. But the main help is that it takes you out of the habit of existing in your head (always a problem for depressives). So it's extra important that you not use yoga as a route for intellectualization, i.e. just another opportunity to get tangled up in thoughts. I know you're sick of hearing me caution you on this again and again, but as a former depressive, I can very clearly see this in you, and I sincerely want to help. The mind can be a prison.
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NOTE:
I need to interject a caution. don't START OUT at 60-90 mins a day of asana. Asana, like any yoga practice, requires prudent self pacing. And you mustn't approach it in a brute force way (zestful, yes, forceful, no; think like a child at play rather than like an athlete). Follow your inner guru. Work up slowly.
And get a good teacher. Alvin, you're young and you're depressed. I recommend a vinyasa school (where poses are done in sequences, rather than held for a long time), like Astanga Yoga. It's a bit more invigorating than Iyengar yoga. But a few classes with an Iyengar teacher (if there is one over there) will always help. If you can't find those specific schools, play the field, taking classes here and there, until you find a teacher who feels right. Don't listen to their yoga philosophy - most asana teachers are shockingly naive and shallow on that. Ignore all that. Just find one who seems to understand your body. i know that's a puzzling instruction, but when you find one, you'll know it.