I found a way to auto suggestion in zsh behave like those of fish. For that I used this git repo.

Unfortunately with these scripts tab completions don't behave like they used to.
When there are multiple possible completions first tab lists all available completions, but second tab just picks the first one. This way it is impossible to cycle through the available completions.

What should I edit for it to make tab behave like it's used to?

Have you tried using the arrow keys to cycle through the suggested completions?

The tab behavior is in the autosuggestions.zsh script: first tab gets suggestions, second tab accepts highlighted suggestion. Try using the arrow keys to cycle through the suggested completions.

You could try to edit the function that causes accept on second tab to make it cycle through suggested completions. But then you would need to code how to accept the highlighted suggestion. Much easier to use arrow keys if that's what cycles through suggested completions and accept with second tab.

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Thanks, that worked. I just needed to figure out how to set menu like choosing of available copletions.

P.S. Zsh is great.
P.P.S. Cool signature.