Hi,
I know exactly what you are talking about! The thing is, you need to participate in actual CW QSOs to get better.
Actually, when I started with CW, I used special call signs such as W1AW/x to get some practice. In most cases, they only send a quick “5nn tu” exchange, so nothing to worry about not catching up with their speed (missing some words and so on).
When they call with e.g. 25 or even 30 wpm and you respond with 13 wpm, and if the operator is a nice OM or YL, they sometimes even QRS to match your speed (real contest stations don’t, as they want to collect as many QSOs as possible, so speed counts).
So, for anyone reading this:
Casually participating in a CW contest will get you back into the hobby really quick! When you find a station calling CQ TEST, listen for a while to see how they do their exchange, then give it a try when you feel comfortable enough. It takes a few attempts, your hands might get sweaty, and don’t be afraid to make mistakes when trying to send with a higher wpm count.
We have all been there, and I still struggle with copying after listening for some time. A quick “agn qth?” or so never hurts.
Also, hunting POTA is a good idea as well. POTA ops use a typical QSO template in most cases, e.g. “gm ur 5nn bk”. Just add a 73 or gl and you are ready to collect many QSOs in a short time, which - at least in my case - really helped with getting better (sending and head copy), and with each exchange, I could increase my own speed!
I can also recommend the “Ham Radio Duo” channel on YouTube: https://www.youtube.com/@HamRadioDuo
They have a playlist with videos about their journey of learning morse code, and one of them displays apps for your mobile phone. After seeing this, I immediately installed “Morse Mania” on my phone, set the speed to 30 wpm, and that’s the way it should be done! Don’t start with lower speeds, don’t use any mnemonics, don’t use morse code charts, just listen and get the characters into your brain at a really high speed! When I was a kid, my uncle would write down the morse alphabet on a piece of paper, and this is the worst thing you can do! Don’t use your eyes, use your ears 
By the way, Reeder, I checked out your QRZ profile and read about your keys. Nice shack! You should really use the Vibroplex or other paddles, they will increase your speed a lot.
73 and see you on the air! dit dit