clothing and jacket help

Saw a post about simple core and how to dressed and breathe, and I thought they very helpful. i’ve done the basic guide and follow along progress and what I’ve learned from that is I’m missing the outer layer in my closet. I don’t have very many jackets or things like that. I end up wearing the quarters zips as shown in one of the pictures I have a couple more colors of pants and I’m working on expanding my wardrobe from what it was before but I think that is one of the missing pieces I can add, those are my daily wear shoes and kind of outfit. I am an elementary school administrator, so there is some more business casual in my attire versus the suit jackets and things I never wear. I like to find some good deals and don’t usually spend a ton on clothes, but eventually could look at getting it secondhand or Goodwill or buying them on sale. I’d love to have some suggestions for pieces I could add or what pieces I could eliminate from my closet to make it both more efficient and functional. I tend to feel like I look better in non-bright colors so my wardrobe is pretty, but I like the capsule wardrobe vibe, thanks for the help. I know some Shop, jackets are popular or overcoats. A lot of my wardrobe is from Charles Truitt, J.Crew Bonobos, I wear the minimal white sneakers, and my allen Edmonds. Chukkas the most. If there’s other that would be helpful, please let me know. There’s me in house cleaning clothes for context.