I’d probably cut the 9v connector off, buy a new one with a flying lead, bird cage the two wires, don’t forget the heat shrink, little flux, little solder paste, “Touch-Touch”
As they say and your done. Those leads are usually short so the battery and lead fit into the tight compartment so don’t get stupid on length. There’s a few ways to do it and I haven’t taken the IPC class in a decade so little foggy on the alternatives but that’s how I’d do it. I’ve a Rework station setup so it’s pretty easy.

Want a little more challenge? Get the solder kit out and try replacing a broken trace on a circuit board. Hand solder a Through Hole 100 leg Quad flat pack, no biggie, replace a trace is a few tries at least.