Caboclo added that national women's team manager Pia Sundhage was informed of the decision in March.
The victory sends Garcia into the third round, equaling her best US Open result after finishing at that stage every year from 2016 to 2018.
Djokovic will face Jan-Lennard Struff for a spot in the round of 16. The German needed one hour and 40 minutes to move past American Michael Mmoh 6-2, 6-2, 7-5.
"I was really focused each game and each point. Especially against top players, one point can make the difference. So I had to stay very calm and keep going," the world number 50 added.
Members of the US women's team filed a lawsuit against their federation in March because of alleged discrimination over wages. A federal judge ruled against the players, who have since lodged an appeal.
"So you have to make her in trouble. That's what I like and it was a great challenge for me today. I did well in this challenge and I can take the happiness for it, and now I'm after another one."
The 28-year-old is now 16th in the overall rankings, 16 seconds behind new leader Yates.
The 54-year-old Dane announced he has been receiving medical treatment for the condition after being diagnosed some years ago and, with the assistance of doctors, has continued to carry out his duties as BWF president "without limitation," said the world governing body.
PP Sports released a statement on Thursday night, claiming the termination was just a "strategic adjustment".
"We are delighted to enter this exciting new partnership with TCL, following our hugely successful collaboration over the last two years," FIBA Secretary General Andreas Zagklis said.
"There have been other instances where we have tried to go but the club won't allow it, or they've done something. I want to play football, I am still motivated to play football, so I guess it's on the club. They are in control of everything. I have a contract, all I can do is carry on what I am doing and hopefully something comes up," said Bale. Enditem