Cast Cauldron Haze by paying 1W/B, giving Archaeoamncer and at least one additional creature with base toughness two or greater persist until end of turn.
Activate Phyrexian Altar by sacrificing Mnemonic Wall and the additional creature, adding 1W/B.
When the creatures die, their persisit abilities trigger, returning themselves from your graveyard to the battlefield with zero -1/-1 counters due to Solemnity.
When Mnemonic Wall enters the battlefield, it triggers, returning Cauldron Haze to your hand from your graveyard.
Repeat.
If you control an additional nontoken creature with base toughness two or greater, you may also sacrifice and return it to get infinite colored mana.
This clever loop relies on Solemnity to completely bypass the downside of persist, letting Mnemonic Wall return to the battlefield endlessly without ever accumulating the -1/-1 counters that would normally stop it. By leveraging Cauldron Haze, you grant the necessary persist ability to both Mnemonic Wall and an additional creature, feeding them into Phyrexian Altar to generate mana. As Mnemonic Wall re-enters the battlefield, its triggered ability loops Cauldron Haze right back to your hand, allowing you to sustain the cycle and effortlessly farm infinite colored mana and death triggers.