How to automatically repeatedly dial a number and automatically press numbers each time?

I'm trying to get through to the Swedish Migration Agency (Migrationsverket) and their lines are constantly busy. In order to get into the queue, one needs to call them, then press 1 twice. This would be fine, except typically you get a voice telling you that all lines are busy and to call back later. The migration agency then cuts the call. One such cycle takes roughly 30 seconds. In order to get through, one simply needs to repeat this process repeatedly until there happens to be an available line and one is placed in queue. This can take anything from 5 to 20 minutes of manual calling and pressing depending on chance. So one needs to call them, wait to be connected, then press 1 twice. Then, when all lines are busy, hang up (or wait for them to cut the call, which takes a few seconds longer), then repeat the process until a line is available and one is placed in queue. I would prefer to spend my time and attention doing something else. How can I automate this process?