Michelin Defenders are solid tires, so if they're genuinely losing that much air, the issue is worth investigating beyond just normal seepage. The thing people don't always realize is that a slow leak can come from places other than the tread - the bead seal (where the tire meets the rim) is a common culprit, especially if your wheels weren't perfectly clean when they were mounted or if there's any corrosion starting on the rim.
I'd get them checked at the shop where you bought them. Have them pull the tires off and inspect the beads and rims carefully, and also have them look at the valve stems since those can weep air too and are cheap to replace. If the rims look fine and the stems are good, then yeah, it could be a defect in the tire itself - small punctures that don't show up obviously can definitely happen. Since you're only three months in, you should absolutely be covered under warranty if there's a manufacturing issue.
One other thing to verify: make sure you're checking pressure when the tires are cold (before you've driven or at least a few hours after). Tire pressure fluctuates with temperature and driving, so checking after a hot day versus a cool morning can give you readings that are off by several psi and make you think you have a problem when you don't. But if you're being consistent with your checks and genuinely seeing that kind of drop, get them inspected. Five to eight psi per week isn't normal.