How to say "Excuse" in Japanese

When translating "excuse" into Japanese, you must choose carefully between お先に and 免じる. In Japanese, お先に (おさきに (osaki ni)) is typically associated with "Excuse me for going/leaving first; After you" (Syllabus Level: N3) and represents Used when leaving before others or doing something before others, expressing a slight apology or courtesy. Also used to politely offer someone to go first. On the other hand, 免じる (めんじる (menjiru)) maps to "to excuse, to exempt, to remit, to forgive" (Syllabus Level: N2) and represents A somewhat formal verb. Often used in contexts of excusing someone from a duty, forgiving a fault, or remitting a punishment/fine. A literal translation of "excuse" can often sound unnatural to native Japanese speakers if mixed up!