While collecting SSA, what is the amount that I can earn with a part time job to not pay taxes?

Your social security benefits may be affected by your working depending on your situation. This article explains that. 

https://www.ssa.gov/benefits/retirement/planner/whileworking.html#:~:text=If%20you%20are%20under%20full,earn%20above%20a%20different%20limit.

However tax you owe on your income from your work depends on how much you earn and whether you are an employee or are self employed. 

It also depends on your age.  Are you at full SS retirement age?  

There are 2 different things to know about social security. People get them mixed up all the time.

1. Your actual SS checks

If you are over full retirement age your actual ss checks won't be reduced. Otherwise they will actually reduce your payments if you make too much other income in the prior year. See SS FAQ for working after retirement

https://www.ssa.gov/benefits/retirement/planner/whileworking.html

Turbo Tax doesn't get involved with how much benefits you can get or how much income you can earn. That isn't part of your tax return. That is just with SS sending you the benefit checks. Your SS benefits can still be taxable. First year special rule
https://faq.ssa.gov/en-US/Topic/article/KA-01927?msclkid=11bc282ccf2211ecb65078152b05ae6b

2. Income Tax

For any age up to 85% of Social Security becomes taxable when ALL your other income plus 1/2 your social security reaches:

Married Filing Jointly: $32,000

Single or head of household: $25,000

Married Filing Separately: 0