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https://www.appunwrapper.com/2015/05/07/broken-age-act-2-walkthrough-guide-untying-the-knots/
Hexipal/Speedrun Help -
https://psnprofiles.com/guide/2761-broken-age-lets-get-this-good-time-over-with-speedrun-walkthrough
Suggested above - save after adding wires to hexipal, connect 1-2, 3-4, 5-6 and copy the shapes to each node. load save for time
"That kind of thing can be pretty convincing." will be obtained after you can exit the control room (not through the electrical machine).
"Flawless Execution" will be obtained after you finish the Prima Doom mission - you can get it at the end of Act 1
it might be obvious, but "3.3" achievement doesn't need to be done in one save
alternative solutions for tree jokes: https://gtm.steamproxy.vip/sharedfiles/filedetails/?id=444565569
(some of the solution won't give you the "How'd I do?" achievement though)
this can help for the knot puzzle:
https://www.pocketgamer.com/articles/065186/how-to-solve-the-knot-puzzle-in-broken-age/
you need to figure out the pattern by yourself though. i only know 2 patterns:
1. the one that looks like carol (you'll see a long knot at top and a big, bundled knot at the bottom)
2. headache something (it's like a rectangle with a circular knot in the middle)
tutorial for hexipal puzzle: https://youtu.be/MkSDeeWClGk?t=310