I found it much easier than previous Grow games, but still worth a go:
http://www.eyezmaze.com/eyezblog_en/blog/2009/01/grow_tower.html

I'm not familiar with 'grow games' and can't figure this game out so far.

this is very wtf for me mate

The goal is to click on the tiles near the right in the correct order that the game expects. Each time you change the order something different grows out of the tower because each block type interacts differently with the other blocks above and below it.

If you get it right your tower reaches as high as the sun thing at the top with the draw cord.

And how should I be thinking about this to deduce the solution?

Its trying stuff, seeing what level they get to, and figuring out what order you need to get everything max'd. Haven't played this one yet, best thing about grow games is just watching how the events that play out change depending on the order.

I've worked out that the Brick robot goes on the yellow knob which goes on the red button. Seems that combo seems to work. The other bits are f***ed.

Got it! Those 3 are on the bottom and the pot on top. Fairly satisfied I guess.

It's like a game only not fun