docs: move docs of cosmos-kit from docs repo to product repo

[Anmol1696]

Move docs from docs repo to product repo.

Considerations:

• should we remove beta dir of docs, since we already have interchain-kit docs?

[Copilot]

Pull Request Overview

This PR moves the CosmosKit documentation from the separate docs repo into the product repository and considers whether to remove the beta docs directory in favor of interchain-kit docs.

• Migrates various documentation pages (hooks, cookbook, beta, advanced, etc.) into the product repo
• Updates the documentation structure and associated build workflow for GitHub Actions

Reviewed Changes

Copilot reviewed 49 out of 49 changed files in this pull request and generated 3 comments.

File	Description
docs/hooks/use-manager.mdx	Typo in the returned type name
docs/hooks/use-chain-wallet.mdx	Table row for getOfflineSigner appears to miss columns
docs/advanced.md	Several minor spelling and phrasing errors
.github/workflows/docs.yml	CI workflow for docs sync looks correctly set-up

Comments suppressed due to low confidence (2)

docs/hooks/use-manager.mdx:5

• There is a typo in the returned type name 'ManagerConext'; consider renaming it to 'ManagerContext' to improve clarity.

+- return type: [**ManagerConext**](#type---managerconext)

docs/hooks/use-chain-wallet.mdx:80

• The table row for getOfflineSigner appears to be missing values for the Parameters and Return Type columns; please update the row to include all five columns consistently with the other method entries.

| **getOfflineSigner**       | prioritize returning `preferredSignType` (in `ChainProvider` properties, by default `amino`) corresponding signer if it is available, otherwise return signer that is provided. | Y  |

[Anmol1696]

LGTM