I have suffered with a weak left ankle, after mentioning it to my doctor they referred me to a NHS physio.
The physio has taught me several different exercises to strengthen the ankle along with different ways to tape my ankle that offer different degrees of support.
Now when I go for a run I can support the ankle based on the reason for the run or what I think the conditions underfoot will be like, for example if I am entering a race or I know the conditions will be rough / rocky underfoot I will tape it to offer the most support. If I am going for a run where I will be following mainly defined paths and I should be able to see the ground underfoot I won’t add any support to my ankle, other times I will just add a bit of additional support.
The physio warned me against getting in to the habit of taping the ankle all the time as the ligaments / tendons / muscles would get use to the extra support and the ankle wouldn’t regain any strength