Put a multimeter on the black wire with the spade lug connector and the red wire with the purple stripe with a connector. Do you see 12V on them?
If you do, then you should check whether they’re connected to the front trolling motor battery or the rear cranking battery. Disconnect the positive of one battery, then the other while checking for voltage at the front black/red wires to figure out which one.
If those wires have 12v and are connected to your crank battery you can use them for electronics, but depending on how much current draw you might need to pull better wiring (8 gauge) back to the crank battery with that yellow rope. I can’t read the gauge off the wiring in the pictures but they look pretty thin. They should work fine for a light load. If they are connected to the trolling motor battery, you can also use them, but likely would get interference on the graph when the trolling motor is in use if you are connecting one to the same battery.
Also a question, is that a factory/dealer install at the trolling motor battery or did you do it yourself? I don’t see any fuses on any of that wiring. You need a fuse on both the wiring going to the trolling motor (most likely the black and red ones with the yellow connectors) and the battery charger (the black ones dipping down behind the battery. With no fuses, if the wire gets nicked and shorts, you’ll start a fire.
Cheers