Edit: as others have pointed out, you can consume “Adrena-Time“ and suffer from the withdrawal which lowers all attributes by 1. This will allow you to reduce high intelligence down to enable the [Dumb] dialogue option required. Consume one at a time (max stack of 3), wait 15 seconds before consuming the next one, if required. You can see the impact by looking at your character stats.
The following solution was taken from PowerPyx's trophy guide - full credit to PowerPyx.
To earn this achievement you need to from the start of the game during character creation choose to lower your Intelligence stat to below average. This allows you to pick “Dumb” dialogue, which is a requirement for this achievement. Late in the game you will travel back to the Hope, which is the ship your character was awoken from. When you reach the front of the ship you will need to skip it to whichever story destination you’ve been working towards, and can choose to do it yourself or let ADA do it. To earn this achievement you need to specifically pick the [DUMB] dialogue option after saying that you’ll skip it yourself. You will then be shown a cutscene wherein you send the ship straight into the sun, giving you a game over and unlocking the achievement.