What is direction of Sun's axis of rotation relative to the Earth's orbital plane around the Sun?
Well, Wikipedia says that it's 7.25°to the ecliptic and gives a reference.
Looking there clarifies the value in 3 dimensions:

North Pole of Rotation
Right Ascension: 286.13
Declination    :  63.87

Since those coordinates are relative to the Earth’s axis, being a practical measurement system for Earth ground observers to use in pointing their telescopes, you need to combine that with Earth's orbit.
As a useful visualization, mark that point on a model of the celesial sphere.  Compare that with the ecliptic pole: the difference between thise points is what you want to know.
I expect you’ll find they are separated by 7.25°, but by marking a model sphere you’ll understand the actual direction.