The match, held on Sunday afternoon at Mbombela Stadium, saw Chiefs dominate proceedings from the outset, forcing Galaxy into sustained defensive work.
Beganovic acknowledged that his side faced a significantly tougher challenge than in previous encounters, noting that Chiefs' evolution has been driven in part by the addition of three new strikers.
Their enhanced attacking arsenal was evident throughout the match, with the visitors showcasing fluid forward play and maintaining constant pressure on the Galaxy back line.
Despite this dominance, Chiefs were unable to convert their chances, while Galaxy, although outplayed for much of the contest, remained resolute.
Their disciplined defensive structure and commitment allowed them to weather periods of intense pressure and ultimately secure a valuable point to close out the year.
Beganovic admitted that containing Chiefs required considerable tactical discipline, emphasising that the opposition's strengthened attacking unit made defensive organisation increasingly difficult.
"We knew when we prepared for this game that Kaizer Chiefs are not like last year; they're much, much better. They play better football, controlling the ball with so many players on it. It's tough to handle everything," said Beganovic.
"Players like Mayo moving between the lines make it difficult to defend against Kaizer Chiefs now. But we were fortunate to manage the first half well.
"I think now we can be happy to go home with 21 points. We can be proud of all the games we have played this season."
Kaizer Chiefs DStv Diski Challenge assistant coach Dillon Sheppard has praised rising midfielders Mfundo Vilakazi and Mduduzi Shabalala as standout performers, praising their maturity, consistency, and ability to handle first-team pressure.
Kaizer Chiefs goalkeeper Brandon Petersen remains determined to break into the Bafana Bafana squad, despite his Kaizer Chiefs performances being overlooked.
Luke Baartman has described his long-awaited Kaizer Chiefs debut as a "rewarding" milestone, even though the journey to finally stepping onto the pitch was far from easy.
Former Kaizer Chiefs midfielder Mandla Masango believes the club is showing clear signs of progress this season, even as questions continue over their co-coaching structure and inconsistency in front of goal.
