The landlord added that the name appeared on the purchase contract, so it will also appear on the real estate license in the future, and the real estate license will be handled in strict accordance with the contract. So, if you have a house and a loan under your name, and the calculation is strictly based on the family, you and your wife have already bought a suite. So it has little to do with whether your name is on the real estate license or not. If you buy a house again, strictly speaking, it is to buy a second suite, regardless of whether your real estate license only has your LG name.
I said I must consult the loan bank to see how they can be sure. Different banks may have different policies, please consult more. It does not necessarily follow the strict identification method mentioned above. However, it is not a problem to strictly check the second suite now. If you want to check your purchase records, the bank can find them, which is not good for you. You can also explain to the bank that your and your parents' house is pre-marital property, and strictly speaking, it does not belong to your small family after marriage. See if the bank will decide that the house you bought with LG is the first one in your small family. It is also convenient to consult your local real estate agent, and the information asked here will be more accurate.