Hi! Nope, it's 1d6 to start out with - but with the push mechanic, you can 'choose' to roll another 1d6 and add it to your result. In which case, if you choose to 'push' your luck, you might end up with a 7+ result. That sentence is under the basic roll section underneath the 4 or lower result, but it's not very prominent! I'll clear it up in a revision soon!
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I've got it in my notes to make the push part of the mechanic a bit bigger next update! Thanks for asking and for trying out the game! The PUSH mechanic is from an SRD by Cezar Cepacle - he's got some great stuff to check out as well! https://capacle.itch.io/push