I mostly used a computer to solve. A random brute force process. Added as much logic as I could determine from the hint and reduced which tiles could be placed in the surrounding cells (3x3 form the corners). Started form cell A7 and followed the blue arrow up where I determined cell A6 only had two that could fit. From there followed the blue arrows placing a random tile after filtering out the tiles that logically didn't fit.

Solution:

Solution Text Look:

I mostly used a computer to solve. A random brute force process. I added as much logic as I could determine from the hint and reduced which tiles could be placed in the surrounding cells (3x3 form the corners). I started the process from cell A7 and followed the blue arrow up where I determined cell A6 only had two that could fit, thus reducing the number of random incorrect choices greatly. From there the process followed the blue arrows placing a random tile after filtering out the tiles that logically didn't fit.

Solution:

Solution Text Look: