Your foundation's mid-afternoon breakdown sounds like a classic case of the product not adhering properly to your skin's texture throughout the day. The issue isn't necessarily that you're applying it wrong or using the wrong formula - it's that your skin is moving underneath it. As your skin hydrates, oils emerge, and your natural movements happen, the foundation shifts and settles unevenly into fine lines and texture you might not even notice when you're applying it in the morning.
Here's something that tends to get overlooked: the texture of your base matters as much as your skin prep. If you're using a liquid or dewy foundation on skin that tends to get oily or has variable moisture levels, you're fighting an uphill battle. A foundation with a satin or even slightly matte finish grips better as the day goes on because it's not as mobile on the skin. You might also be applying too much in those problematic zones - the nose and chin tend to produce more oil, so they need less product, not more. Try using a damp beauty sponge and really press the product in rather than buffing it, which can create those streaky gaps where the sponge skips over texture.
One thing worth trying: use a very thin layer of translucent powder only on the areas that break down, applied about 30 minutes after your foundation settles. Not all over your face - just those problem spots. This gives the foundation something to grip onto and keeps it locked in place without the heavy, caked feeling you get from powdering everything. It sounds counterintuitive, but a tiny bit of powder in the right spots actually prevents breakdown better than relying on setting spray alone.