Set Up Android Emulator
The goal is to have a emulator that satisfies the following properties:
- Can be rooted - so that we can access save file located in the restricted
/data/data/directory. - Can run the game - the blockheads is picky about android version (<=9) AND the instruction set, as the APK only supports the armeabi-v7a ABI.
- Can read from and write into the rooted device storage across emulator boundary, i.e. tool running on PC can read & write save files.
Fortunately, bluestacks 4 ticks all checks with the help of BSTweaker!
Download & root emulator
First, Go BSTweaker official website. If you can't open it, try internet archive wayback machine.
Then follow instructions to download needed softwares and follow video tutorial as instructed in this screenshot:

The Root Checker should show "device has root access" after this step is done.
Quickly transfer worlds
Using Root Explorer, navigate to /data/data/com.noodlecake.blockheads/files/Library/Application Support/saves on the left side and /storage/emulated/0/windows/BstSharedFolder on the right side:

Manually copy the save file to windows folder, and you will be able to access it on windows in Your BS4 installation path\BlueStacks_bgp64_hyperv\Engine\UserData\SharedFolder.

