Side note, you can get a cheap soldering iron for like $10 at Wal-Mart, the one I use is a little bit more expensive but IMO totally worth it.

https://m.lowes.com/pd/BernzOmatic-6...-Head/50126415

It was about $35 for me, but everything's expensive in Alaska. Lol

And you can get the little multi-packs of pre-cut heat shrink for a couple bucks.

Trust me, it'll save you time and money later, because those butt connectors will still let water in to the bare copper, regardless of how much tape you use. Then you've got dead wires that you'll have to strip back to clean copper and splice in new wire, possibly replace the connectors themself if the corrosion travels that direction...

Do it right the first time, so you won't have to go back repeatedly and fix it every couple months.