Need advise/help.

I joined a company in a business/product role last October, realised it is not at all what i was told in terms of culture and expected work( detailed reason not important to the advice I need). Basic training was going on and i resigned in 13 days. It was an amicable resignation with my hiring manager(great guy btw) and org boss. HR said we will not pay you a salary as to adjust against waiving off of notice period and stuff. I felt at that time it is ok as I did not wanted to serve the notice period(what is the point anyways). I also felt it is not justified to take that salary and wanted to quickly move to next steps. No money hits my bank account from the company as of writing this post.

Cut to this year June, I see an information mentioning a salary being paid to me for that October month while going through my TIS and AIS forms on ITR portal. I reached out to the company as to clarify this. I wanted them to provide me with a salary slip and form 16 at least if after all they are saying a salary is paid. They are not providing that saying it is adjusted. I have a few questions here.

1. If a salary(more than 80k) is mentioned in my tax(even it was so called adjusted), I must be provided with a salary slip right?
2. Am I missing something and am I in the wrong here?
3. What should be my next steps, I don’t want that salary but shouldn’t they provide the salary slip and form 16 if it mentions it on my tax documents?

I did not wanted them on my employment history hence wanted no such hassle and here we are. Need some inputs from people who understand these things. HRs or any other folks in the know.