I was specifically looking for a deckbuilder on the jam so thank you for scratching my itch :)
Such a great game and feat for the theme! My two suggestions would be to 1) let the player cancel the card if they accidently picked the wrong one (I had tims when I selected the glue but didn't realise all my pieces at the top were already glued so I had to waste it at the bottom) and 2) make the freeze card actually freeze for 2 turns. In my experience the pieces frozen by it just stay frozen making it very easy to have a sort of checkpoint at any height from which you can build further even if you lose connection with the tower at the bottom which is probably not intendent (you can see this situation play out on the screenshot). I initialy thought freeze for 2 turns was more of a clever situational card you would use to protect yourself from the birds or to build a "floor" which you would later strengthen with other cards but it ended up being the powerhouse behind my whole strategy.
It would be really cool to see the full version of the game with wider card selection and more deckbuilding options. Fantastic job!