docs: Add ecs-logging-python to the Elastic doc build

[bmorelli25]

To do

• Move docs to asciidoc Add official docs #29
• Open PR in elastic/docs to add to the build Add ecs-logging-python to the build docs#2037
• Open infra ticket to add the elasticsearch/ci docs check to this repo https://github.com/elastic/infra/pull/25908
• Add the elasticsearch/ci docs webhook to the repo
• Remove content from readme and link to published docs Remove installation instructions from readme #30

Ping me when you're ready for this step and I can help you out!

[bmorelli25]

Waiting on privileges for the webhook.

[basepi]

Waiting on privileges for the webhook.

Is this something you need us to action on or is it an infra issue?

[bmorelli25]

Is this something you need us to action on or is it an infra issue?

I received access, so we're good to go on that front!