Hm, this is a toughie. Has the floor been ordered? You could try something creative with a squared border on the perimeter and the middle on the diagonal.

the laminate is new and is butting up to original hardwood? or is it replacing the hardwood?

https://designingyourperfecthouse.com/home-design/whole-house-design/hardwood-floors-direction

The existing hardwood flooring will remain in place. The new flooring has already been ordered and delivered, and is ready for installation. installation.

No to putting laminate next to hardwood....not a good look.

you are going to notice the transition, so accept it.

I would run the floor the way you show it in front of the window.

you want to look down the linear line, not against it.

the sunlight will enhance the look as it follows the line.

@Lyn Nielson, the planks under the window are not linear down the line to me. The planks that abut the old floor look linear to me. Is this a typo or am I mistaken? Thanks.

perpendicular to the window wall.

Yes, the opposite of what your existing floor is.

Which wall is longer in the room?

Just do whatever Lyn says.

The wall that is perpendicular to the window is the longest wall.

The same as the hardwood if you want it to look even close to real.