What's the excuse for not having a certificate of separation?
The first thing to look for a job is honesty. In your case, if you really don't want to waste this opportunity, you can say so to the new company. How many years do you think the original company must have worked before giving the resignation certificate? Because you think the original company has no room for discovery, you want to leave early. If you leave early, there will be no proof of resignation. If you say so, the average company will understand you. If it still doesn't work, you might as well tell the truth If the company values your ability, it won't care too much.