More or less agree with the advice above. Your trunk is too straight. Both branch one and branch 2 are too straight. I see buds on the trunk on the back side, so it does bud back somewhat on older wood.
If it were mine, I would go ''big'' meaning 24 inches or more for my final size. Oaks are craggy, you need many sharp bends in your branches. You can not ''wire in'' sharp bends. Best way to get sharp bends is "clip and grow".
This will take several years, but the results will be superior. Remove the 2 branches entirely, just cut them off, but leave a short stub for a year or two, there is a collar of buds around the branch where it joins the trunk, you will need new branches roughly where they are. Shorten the trunk probably at least as short as the second branch, you could go as short as the first branch, if you are shooting for 24 inches, shorten the trunk to less than 8 inches. The fine, short branches on the back side of the trunk, the newish ones that we don't really see, just shorten them to 4 inches or less. Remove terminal bud from every branch at the same time you remove the 2 big straight branches.
This should stimulate back budding. Keeping the little branches and leaves will keep the tree going while it is pushing buds to replace the 2 big branches. Removing the terminal buds of the branches you keep will help to totally disrupt hormone distribution, preventing the little branches from becoming too dominant before back budding can occur. Do it now, near the summer solstice and there will be enough growing season left to develop the back buds. Don[t try this just before winter dormancy.
This year let new branches and buds grow without pruning. Next year let new growth begin, maybe do your repot, angle change and root work. Then let grow. Right around summer solstice, prune all branches back to just a couple nodes. Each branch should be 4 inches or less.
Your 3rd year let the branches grow out, then prune back so the each branch has added about 3 inches, one internode less than year 2. Your branches will have branches. Keep this pattern up, your branches will zigzag, and you will rapidly get fine ramification.
Well, rapid might be an exaggeration, oaks do not develop quickly. But this is what I would do. There are other ways to ''skin the cat'', Ponder my advice. Do or not do. I have tried it with an oak from seed from Las Vegas area, similar to a coast live oak. It seemed to work, but I had a wintering issue one year and I did not get to the ''finish line'',, so if a person with more actual oak experience says different, follow their advice.
I'm currently working on a bur oak seedling, right now just bulking up the trunk, which is less than one inch at the moment. So a long way to go.