[Feature] Make api docs release workflow

[laurensvalk]

Is your feature request related to a problem? Please describe.
Several deployment steps are handled by GitHub actions, but the API release is not.

(There are however some actions that happen on release.)

Describe the solution you'd like
We can probably do something like pybricks/pybricks-micropython@31787a6

[laurensvalk]

(There are however some actions that happen on release.)

But not if the release is triggered by another action, it turns out - https://github.com/orgs/community/discussions/25281