The Rockets started their season with a 3-2 MTN8 quarter-final defeat to Sekhukhune United before losing 2-0 to Durban City and 1-0 to Sekhukhune in the league.
They picked up their first points of the new campaign with a comprehensive win away to the Chilli Boys, with Puso Dithejane (41', 81', 90+5') netting a hat-trick, alongside a goal from Mlungisi Mbunjana (63').
Khaya Mfecane had opened the scoring for Chippa at the Buffalo City Municipality Stadium after just five minutes.
Beganovic said on SuperSport after the match: "All three last games we played well. And then I can be happy when we analyse and do everything we see how we and how many chances we created. I said, one day we just need to stay calm.
"Yes, it is painful but we need to stay calm and train the same way we have been doing. We want to keep our structure and philosophy exactly the same way we want to play every game not only against Chippa. But I'm happy especially [when] the young players learn faster and we need to believe in our process."
Beganovic also lauded Dithejane's performance, adding: "He scored beautiful three goals and we can be happy because we need wingers who can score and we work a lot with our wingers on finishing. Even in our last game he got two big chances to score but he missed.
"Even so, we don't blame him, we support him, we believe in him and encourage him. Now, he gave us three goals but I want to put the attention on the whole team because we took three points."
Chippa United coach Musa Nyatama says his side "need to bounce back" against Richards Bay in their next Betway Premiership encounter after losing 4-1 to TS Galaxy on Tuesday.
Richards Bay co-coach Ronnie Gabriel says it is too early to panic after starting the new Betway Premiership season with four defeats.
There were victories for Sekhukhune United, TS Galaxy and Polokwane City while Durban City and Golden Arrows could not be separated in Betway Premiership action that delivered plenty of goals on Tuesday.
Kaizer Chiefs continued their perfect start to the Betway Premiership season with a 1-0 victory over Richards Bay at FNB Stadium on Tuesday night.
