Align to normal vector with python

Question

I was looking to orient an object to a selected active face of another object in Blender 3.2.

Already found other similar questions, but none worked:

Align to face normal vector (took code from here)

Align Object A to Object B to their respective active faces with python

Python script get face normal, then set it as another object's orientation (Z-axis) accordingly

The code so far(thanks to batFinger, slightly changed, since multiplication of vectors and matrices is now performed with a @, swince Blender 2.8+):

import bpy
from mathutils import Matrix, Vector
import bmesh
context = bpy.context
obj = context.edit_object
mw = obj.matrix_world.copy()
bm = bmesh.from_edit_mesh(obj.data)
# for this example jmake a face active
face = bm.select_history.active
o = face.calc_center_median()
# calculate the axis dif in local coords
axis_src = face.normal
local z-axis
axis_dst = Vector((0, 0, 1))
matrix_rotate = mw.to_3x3()
matrix_rotate = matrix_rotate * axis_src.rotation_difference(axis_dst).to_matrix()
matrix_translation = Matrix.Translation(mw * o)
obj2 = context.scene.objects.get("Cube.001")
obj2.matrix_world = matrix_translation * matrix_rotate.to_4x4()

The script expects a second object called Cube.001.

Answer 1

As far as I understood, correct script is:

import bpy
from mathutils import Matrix, Vector
import bmesh
context = bpy.context
obj = context.edit_object
mw = obj.matrix_world.copy()
bm = bmesh.from_edit_mesh(obj.data)
# for this example jmake a face active
face = bm.select_history.active
co = face.calc_center_bounds()
axis_src = face.normal
normal to rotation:
rotation  = Vector((0,0,1)).rotation_difference(axis_src)
obj2 = bpy.data.objects["Cube.001"]
Set Rotation:
obj2.rotation_mode = "QUATERNION"
obj2.rotation_quaternion = obj.matrix_world.to_quaternion() @ rotation
Set Position:
obj2.location =  obj.matrix_world @ co