So guys... I seem to be running wildly low on supplies. After the tutorial I simply can't maintain my fleet and due to how expensive supplies are there's just no way in hell I can support the repair costs. I'm all out of money, supplies, and my combat readiness is dropping like a rock. What do I do?
This is interestingly a probably I've never had on the new version. As I've stated before, this is likely because of a previous mod I played that made supplies so ludicrously expensive you'd think you were playing Sunless Sea.
So...
Salvage everything, almost never reclaim damaged ships. Unless you desperately want a D-modded lasher/buffalo/mudskipper do not reclaim ships off pirates. It's just a massive drain on resources.
If you don't take too much damage, you'll usually break even at the end of a fight in terms of resources. No win, no loss. This means that it's absolutely critical for you to pick fights with pirates principally around areas that post open bounties, to pick fights on your way to survey something, or to pick fights with pirates who have private bounties. The latter is even more critical when you find yourself taking damage in your regular engagements.
It is a very, very, very good idea to buy a dedicated cargo ship and a dedicated tanker ship if you're planning on making any extended trip into the black.
Pay careful attention to the projected supply cost readout you get during deployment. Don't use a zweihander when a belt knife will do. Your aim is to deploy the minimum number of ships needed for a clean kill.
Pursuit actions are rarely worth it, unless the escapees are cargo ships or (worse) a pirate with a private bounty.
EDIT: In the early game, quick scan work is an unexciting but highly profitable venture. Some of the posted mission that just tell you to go poke a derelict can net you upwards of 100k. Just be ready the turn and burn if things get to dicey.