Use `avoid_breaking_public_api` configuration in types module

[xFrednet]

Clippy has a configuration value called avoid_breaking_public_api which disables lint messages suggesting changes to the public API of a crate. This configuration value should also affect lints inside the type module, as discussed in #7308 (here).

The addition of this configuration value will be a bit different as it has to be handled in the type module. I for that reason suggested doing this change for all type lints in one go after #7308 has been merged, which it has.

I plan to work on this soon, however I would also be happy to pass it up or mentor someone if they are interested. 🙃

See: #7187 for implementation examples

[xFrednet]

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