[3.0] NeverSink's ♣ INDEPTH Tornado&Archer Guide ♣ Beginner friendly ♣ Rapid clear ♣ All bosses

Remove infractem, really, it's a 200 pdps with huge drawback. And without Drillneck it is just a huge pile of crap.
You can find 5S/4L 300 pdpps Lioneye's Glare for 5C in standard, it will be much much better. If you prefer a rare, look for bow with at least 7% crit chance and around 250 pdps for a starter. Entry price is 5C for 4L. For 4L setup: TS, GMP, PPAD, Faster attack or added fire.
PtL / WeD is a good setup for dps but it lowers your leech very sensibly (since half of physical is converted). It can be hard to play so I don't recommend it.
For your mana issue: get Spirit Void cluster on tree. If it's not enough, get a jewel with mana leech and 2 mana on hit.

boots: you really need move speed, especially with those gloves. Again it cost only a few chaos: ex.

Body: a cheap 5L eva chest with life and res. ex, or a unique chest like Daresso's Defiance, Hirry's Ire, Queen of the forest or Belly of the Beast if you manage to get enough res elsewhere.

belt: very high life, 2 or 3 res, str if needed (it's a good slot to get str, even if it cap you to two res). Ex.

Helmet: high life, high eva, 2 res, intel or accuracy (you need to decent accuracy roll on gear to be comfortable) or a third res. ex.

Quiver: preferably flat physical or crit implicit. Crit multi > 30, life, leech. You can still keep your for some time (but not much, it's still crap).

Foe Loop ring: it's not bad. Once you've purchased everything you need, craft life on it with Elreon bench (up to 44).

Amulet and other rings: they're meh at best.
- amulet: best implicit is intel/str or intel. Try to get crit multi on it, and/or flat physical. As usual for the other mods: life, leech, maybe one needed res. This will probably be your more expensive upgrade if you want a decent crit multi roll.
- other ring slot: use it to get whatever you need.

reminder: you need 109 str and intel to be able to use most common red/blue gems. Notable exception: 155 intel for HoT.

You have various options:

most paper dps, and most real dps unless highly resistant mobs. less leech, high shock chance due to high lightning damage:
TS, PPAD, GMP, PtL, WED

next most paper dps, which is a decent option. It makes any form of reflect easy. But highly fire resistant mobs will take longer to kill.
TS, PPAD, GMP, AFD, WED

more crit, more status ailments (especially freeze): TS, PPAD, GMP, AFD, Increase crit chance or pcoc (if 4 power charges)

Some would argue for a full green setup: TS, PPAD, GMP, FA, SP.

I'd go for 3rd or 2nd setup. I don't like the full green with slower proj. Slower proj slow down TS too much to my taste.

For single target on 4L: puncture, ppad, increase crit chance, slower proj or increase crit multi.