Got there before me, exactly this. Learned this from a physio when I was running injured years ago first training. When the world opens up again if anyone tries this, get some ankle or other weights to keep you down, because the problem tends to be floating up more than anything else.
Also,
@Joe-Singh to slightly sidestep the running with weight issue, which I know splits people - I fall on the side of it's valuable to do, because it's activity-specific training, but you also should be aware that
any running with weight damages you (even when you are in). So you minimise it and do it efficiently. As such, keep the weight lower than that (absolute max 20kg, and I'd recommend no more than 10kg), and the ground you do it on soft - remember the impact equation isn't just weight, it's about shock, which is substantially affected by the ground you are on. Concrete is worst, tarmac is bad, trails are ok, short grass is good, heather is best. If you are in a city, the difference between running in the park on the tarmac path and the grass/mud trail beside it is substantial. I'd also recommend training with a daysack rather than a vest, because although in the field weight is carried and distributed by armour, you are training for P-Coy, where it is carried in a bergan. So your purpose for training with weight is to develop your core, back and shoulders, and a vest doesn't distribute it that way.
Ultimately just be aware, this will be you in X years, the point is to make X the largest number you can: