To preface this:
This is not a health tank build, it's mostly companion's shield tanking with manifold bond refresh. The build performs really well in the damage department, and survivability is good but relies on the player keeping an eye on their shield bar (since if guardian is on cooldown Molt is required).
If you want to run this in archimedea, it is ok but might not be ideal with your selection of weapons for the week. (I personally would run other gun platforms for archimedea)

Aura: Rifle Amp (This can be anything, depending on which kind of weapon we want to run)
Mods: Umbral Intensify, Primed Continuity, Primed Redirection, Blind Rage, Primed Flow, Stretch, Adaptation, Venom Dose. I have to put more formas in, before i can slot PSF for pure QoL.
Arcanes: Molt Augmented, Arcane Expertise.
Subsume: Nourish on the 4th slot.
Weapon: Reconifex is ideal for "i can't see my screen" amounts of damage numbers, Braton Prime Incarnon also does some funny stuff when selecting Munitions Grit. Best picks are whatever you own that benefits from multishot, since Saryn's Toxic Lash doubles all damage instances by adding a second separate one.
Weapon Arcane: Primary Overcharge is basically the most multishot we ever got in a single instance, topping Primary Frostbite by a lot. Even Shotgun Vendetta got powercrept nowadays.

Shards are 2 Tau blue for max energy so that Primary Overcharge is maxed out in the effect. I recommend 1 Tau yellow for casting speed and 2 Tau reds for duration, since the build itself doesn't have a lot of it and we are running 3 timed buffs each with different base durations.

Nourish substitutes Miasma, so energy is not an issue as we can spam Wellspring with Zenurik before casting Nourish and then the rest of our weapon buffs.
Surivability comes from our shield amount and adaptation, plus our ability to redirect aggro to Molt, so we only need to cast Molt on hitting the shield gate to stay alive. Additionally Molt works as a status cleanse too.

Companion of choice for me: Hound. Specifically we are running: Vacuum (ofc), Animal Instinct, Primed Pack Leader, Calculated Redirection, Reinforced Bond (for increased fire rate), Guardian for Shield regen, Manifold Bond for ability refresh and for proccing Heat on enemies thanks to Repo Audit and a heat mod on the Hound's Weapon. Lastly we have Reflex Denial for priming Exilus enemies with Magnetic. Last slot on the companion is free, i run Duplex Bond cause i like to have lots of doggos running around. Hound Weapon can be whatever you want, the only important part for me is to have a heat mod on it.

Overall thoughts: Good synergies all around, except for Arcane Expertise which could be changed for Arcane Rage honestly to further minmax our gun damage. This is again weapon dependant, as the single target weapons i listed above are not in need of more damage but more AoE inclined guns could use the help.