Add LLMs buttons to the rest of the docs

[patrikbraborec]

Currently, we have LLM buttons on Academy, Platform, and API docs. We should add it to the rest of our documentation sites: #1803.

[B4nan]

You might want to move the new components to the theme (https://github.com/apify/apify-docs/tree/master/apify-docs-theme/src/theme), that way you won't have to copy the implementation to all the other repositories.

[B4nan]

You might want to move the new components to the theme (master/apify-docs-theme/src/theme), that way you won't have to copy the implementation to all the other repositories.

looks like #1803 broke the child repositories, since it references the new component in the shared theme, so we will need to do this right ahead

https://github.com/apify/apify-sdk-python/actions/runs/17128444655/job/48585898735