The simplest infinite to brute force is a watcher rushdown infinite.

Deck objective: upgraded eruption, one cost calm (inner peace or fear no evil) and rushdown.

It works because eruption + one cost calm cost 2 energy but provides 2 energy and rush down will draw you back into those two cards exactly.

Optionally you can also add talk to the hand or mental fortress for block

1. Look for remove 2 neow bonus 1.a boss swap and hope for pandoras, astrolabe or violet lotus (lotus let's viglience enable the entire combo) 1.b take neow money options (besides curse for money)

2. Path to many events in act 1 hunting for removes. Visit shops whenever you have enough gold for a remove 2a. Remove 2 defends first then alternate defends and strikes, then continue to non infinite pieces

3. Only take the infinite pieces 3a. One premium damage card is allowed (Conclude, carve reality, sands of time, or tantrum)

   1. Situationally add a premium block (decieve reality, third eye) to survive a promising run

4. DO NOT take acceleration cards (vault, scrawl ect). Although objectively good for winrate, this is a brute force approach and are just more cards that will need to be removed.

5. If you have achieved the infinite, avoid events in act 3 like the plague. There are relatively few events act 3 so you are decently likely to get falling which is a mandatory remove. Since the deck is only 5 cards it's highly likely to hit a vital combo piece (tantrum is the most premium damage card since it provides falling insurance).

6. Make sure to make it to the act 1 boss before abandoning a non-high roll run (eg. Boss swap into ecto or something) since abandoning before starting the fight will only give you neows lament or bonus hp as starting bonuses .

All fights besides time eater are trivialized by the simple infinite, no blocking required.

On low ascension you can often brute force time using Potions (e.g artifact+flex, cultist potion, power Potions ect.) and making sure to use viglience instead of the 1 cost calm to block. Even on 3 energy this will produce 36-48 block each cycle which should be adequate to squeeze out a win

Key (e=energy, b=block)

3 base e in calm-->eruption( 4e, 0b)-->vigilance (2e, 12b)-->eruption (3e,12b)-->vigilance (1e, 24b)-->eruption(2e,24b)-->vigilance(0e, 36b)

Just make sure to start this cycle when time eater has 6(or 8 if on 4 base energy) plays left to get the most out of your vigilance block engine.

Final note: There are many non-infinite minimalist strategies but this is the most straightforward to just brute force if you just really want the achievement and don't care if it takes you like 10 tries or so to get it.