Generally speaking, we can shift the (antenna array's) main lob direction by changing the phase of each radiation element in an array. The EM propagation direction is perpendicular to the equal-phase plane, as shown in this figure (commons.wikimedia.org/wiki/File%3APhased_array_animation_with_arrow_10frames_371x400px_100ms.gif). Hope this can inspire you.
Sorry, the purpose of this channel is triggering your interests. So I prefer you can do it by yourself. If you have any question, I will try to give you a hand.
ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YxTuWZHMNOA.html This is my new video about the patch antenna design. under this video, I shared the link to download the file. In this file, the patch is based on the one you want, and the feeding is optimized.