I’m a girl and in most senses a “typical girl”. But I have an excellent sense of direction and a huge collection of power tools, including stuff like hand planes. When they made us take the ASVAB in high school I scored in something like the 99th percentile among girls for the mechanical parts, which were mostly really spatial - which direction would this gear go in if we spin this one, which picture is this thing from above, etc. The funny thing is that my boyfriend can’t find his way out of a paper bag. Thank god they invented GPS, because he’s lucky he doesn’t get lost going to the bathroom.
ETA - I’m an INTJ too, just like Gandalf and Hannibal Lecter.