Okay, so I I was on wookiepedia, not writing, and ended up on the page where it tally's everyone's kill counts, and saw this:
And I thought, "That can't be right" and looked into it further, and it only had her Season 1 kills.
So, naturally, I went on Youtube and found this video that details the Bad Batch's kill count for all 3 seasons, and it puts Omega at ~21.
Then I realized that the video fail to calculate the casualties caused by the zillo beast, for which Omega is directly responsible, and I looked up the bit of dialogue in which Scorch reports the number of troopers that were taken out by the zillo, which he said was a total of "2 divisions".
Now, according to Wookiepedia, one division consists of 5,000-10,000 soldiers.
So, in total, at the tender age of baby ~13 years out of the tube, Omega's REAL kill count is somewhere along the lines of approximately 10,021-20,021 (clankah's included).