Baron & Later

Trap progression for Baron & above: (non-LE only)

Physical: Enraged Rhinobot (Legendary/Hero) -> Sandstorm Monstrobot/Smoldering Stone Sentinel (anytime after Count) -> [optional Chrome Monstrobot]
Tactical: Horrific VMT (Legendary)/Zugzwang's First Move (Lord) -> Sphynx Wrath (Baron) -> Gouging Geyserite Trap/Chrome Sphynx Wrath (anytime after Count)
Hydro: SLM3 (Lord) -> Queso Fount Trap (Count) -> [optional Rune Shark Trap -> School of Sharks (anytime after Count)]

Arcane: ACRONYM (Legendary) -> Droid Archmagus Trap (Baron) -> Event Horizon Trap (Duke)
Shadow: Bottomless Grave (Master)/Clockapult of Time (Legendary) -> Interdimensional Crossbow Trap (Baron) -> Temporal Turbine (Duke) -> Chrome Temporal Turbine (anytime after Duke)
Forgotten: Ancient Box Trap (Hero)* -> [optional Scarlet Ember Root Trap at Count] -> Endless Labyrinth Trap (Duke) -> Infinite Labyrinth Trap (Duke)
* For all practical purposes, use your strongest trap with Forgotten Charms.

Draconic: Ice Maiden (Knight) -> Blazing Ember Spear Trap (Count) ->  Dragonvine Ballista (Grand Duke) -> Storm Wrought Ballista Trap (Grand Duke) -> Chrome Storm Wrought Ballista Trap (Grand Duke) -> Dragon Slayer Cannon (anytime after Grand Duke)
Law: SLAC (Lord) -> Judge Droid Trap (Count) or Meteoric Prison Core Trap (Baron) -> Ember Prison Core Trap (Count)
Rift: Crystal Tower (Count) -> Focused Crystal Laser (Duke/no LGS) or Multi-Crystal Laser (Duke/with LGS) -> MYNORCA (Grand Duke) -> Timesplit Dissonance Trap (Grand Duke) -> Celestial Dissonance Trap (Archduke)

Bases: Aqua Base (Legendary) -> Overgrown Ember Stone Base (Count) -> Fracture Base (Duke) -> Enerchi Induction Base (Duke) -> Attuned Enerchi Induction Base (Duke) -> Prestige Base (Archduke)

If you have LE gear, use those if they are are better.

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My route for Baron(ess)

- Once Baron, head to Fort Rox (Frox). ACRONYM throughout, unless Clockapult at twilight only (Chrome or better charm)
- Do Frox until you have DAT.
- Go to Fiery Warpath, catch Warmonger. Build Sphynx Wrath
- After FW, go to Muridae Market (MM), rebuild General Store -> Charm Shoppe -> Cartographer (alternatively buy Artisan with KC to rebuild Cartographer directly)
- Go back to Frox, upgrade until you have IDCT
- Go to Living Garden, farm Dewthief Cheese & A essence. Trigger a stampede with Bonzana Charm, buy Chow charms from shop, farm C essence with IDCT.

If you're still not Count yet at this point,
- Do Frox until you get MPCT
- Rebuild whatever's left at MM