clients/client/elixir refers to an unavailable application

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Describe the bug

When compiling clients/client/elixir, the following message is printed:

You have configured application :ory_apis in your configuration file,
but the application is not available.

This usually means one of:

  1. You have not added the application as a dependency in a mix.exs file.

  2. You are configuring an application that does not really exist.

Please ensure :ory_apis exists or remove the configuration.

The documentation also refers to this:

## Configuration

You can override the URL of your server (e.g. if you have a separate development and production
server in your configuration files.

    config :ory_apis, base_url: "https://playground.projects.oryapis.com"

However, mix.exs calls the application :ory_client, which is the name that should be used in the configuration and examples.

I haven’t played with the code generation process, so I am not sure where :ory_apis vs :ory_client is coming from, but it is an issue.

Reproducing the bug

$ mix do deps.get, compile

Relevant log output

No response

Relevant configuration

No response

Version

n/a

On which operating system are you observing this issue?

No response

In which environment are you deploying?

No response

Additional Context

No response

Start with clients/client/elixir/mix.exs and the configuration example shown in the issue, then run mix do deps.get, compile to reproduce the unavailable application warning. Trace where the application name is set in the Elixir client and its generated documentation. Done means the configured application name and examples match the application declared by mix.exs and compilation completes without this warning.