You're right. This is a different technique. This is my simplification of the TM technique along with "japa" (repetition of a phrase) as is typically taught in the Brahmin scripture school mileu.

Since the OP was about achieving flow state and focus, I thought this was relevant.

The repetition I learned (and try to practice) is counting 1 - 10, then repeat. Try to focus on the counting, not follow distractions. Its okay to restart at 1, to pull your focus back.

Worked great for me, when other techniques haven't. Just a good fit.

Much gratitude to you and u/phyzix5761. Sadly, I lost touch with that meditation group and I have been looking for something similar. Now I have your pointers.