migizii, please read through each of these links to see if K2MK4 is a stone unturned that may offer relief for your bronchiectasis. Notice at the end of the westonprice link the stress is on food sources mentioned not supplements. That is where your money is best spent.
https://www.westonaprice.org/health-topics/in-defense-of-vitamin-k2-mk-4-dr-prices-activator-x/
https://www.sciencedirect.com/science/article/pii/S0306987716309884