How to prevent pen tool from cutting itself?

Question

Design

Can't get the logo right. I use the pen tool in photoshop. I do it like this: first I create an empty layer, then in the pen tool I select path and lighten the text. I fill it with white. The problem is that when crossing lines, those that are above cut the rest under them.
Of course, you can just draw empty areas in a new layer, but this is not the same. How can this problem be overcome?
Screen:

Answer 1

No way, such a logic of how paths work in adobe programs, in illustrator it will be the same.
Work in illustrator and other tools, strokes , brushes, etc., which can then be expanded or merged

Answer 2

In FS, if I'm not mistaken, only collective farms with "patches". Do better in Illustrator. Even if you have never worked in it, for a photoshopper it is at least intuitive in some places.

Answer 3

Life hack (albeit dumb): cut the segment where it intersects with itself with "scissors" to a new one