Jacket recommendations

Hello, I'm looking for a jacket/coat to wear in winter, mostly for everyday use like walking to classes. I have a North Face jacket that's really similar to this (I couldn't find the exact model). It's a hand-me-down and has started showing its age. It doesn't fit me anymore as I've lost some weight ever since getting it. There's also been a few times where it hasn't been warm enough for the walk to campus. I got this bomber jacket from Old Navy a month or so ago. I know its probably not the best quality, but I liked how it looked and it was on sale for $35. I plan on wearing it during the fall. I'd like this second jacket to have a hood and be warmer for the winter. I found this Patagonia jacket that's on sale, and I like how it looks in Pitch Blue, though I'm not 100% on the hood. I live in central Missouri, so winters aren't the worst but it does snow. My price range is about $200, though I'm willing to go slightly above if its something I really like. I'm also fine waiting a bit for sales as it'll be a few months before it really starts getting cold. I'm also about 6'2'' and weight about 140-150, and wear a size M in t-shirts if it matters. Pictures of all the jackets mentioned:

Patagonia Men's Seldom Traveled Lightweight Hoody

Water-Resistant Zip Bomber Jacket | Old Navy

Shop Old Navy's Water-Resistant Zip Bomber Jacket: rib-knit collar, long sleeves, rib-knit cuffs, full-length zipper, welt pockets, interior snap-welt pocket for wallet or phone, rib-knit hem, water resistant, #417247