What should I do in this unique scenario?

I accepted a conditional job offer for a Data Engineer role at a smaller insurance company (~100 people), subject to a background check and we’ll call this job C.

My Actual Timeline: • Job A: Left two months ago to go to job B • Job B (Omitted): Worked there for only two months immediately after Job A. It misrepresented the job and I excluded it from my resume. • Application: To avoid explaining the gaps and the very short tenure at Job B, I stated I was still currently employed at Job A and omitted Job B entirely.

Once job C sends background check, will I pass. How screwed am I? Do I wait to put in 2 weeks at job B until background check is passed for job C?