PT here- and, one piece of advice I have for you is to be consistent over time with your strength work for the Achilles.
In general, you get Achilles tendon degeneration/injury when there is a mismatch between the load you are applying to the tendon and your ability to deal with that load.
You use specific loading exercise (and recovery) as a positive stimulus to improve the quality and structure of the tendon. Additionally, with running and other plyometrics- the load on the tendon is rate-dependent, meaning that fast loading causes high load magnitudes. This is why a large component of Achilles tendon rehab utilizes heavy, slow loading.
How long does this take? Mild cases can improve with 12-16 weeks. I’ve seen severe cases take 6-12 month, and from what I can tell in the literature, with consistent, heavy loading- you get subtle improvements in the tendon quality at 12 weeks and more significant changes after 6 months of consistency. Plyometrics are appropriate at the end phase of rehab, but they don’t substitute for the base work, much like aerobic base building can’t be shortcut by doing sprints.
There really is no shortcut, and your commitment needs to be towards the regeneration process and not as much running during that time period, otherwise you run the risk of falling in the same hole, repeatedly. How much running you can do varies from person to person, and it should all be pain-free. You can use that time well, however, and one suggestion I’d have is finding a PT that specializes in running and gait mechanics to see if there’s anything about your running technique that is contributing to the issue, especially if your pain is on one side only.
Pete may have more to say or a different viewpoint- but this is just my two cents! Good luck and stay consistent!