docs: update Carpincho connection docs

[nicosampler]

Summary

No related issue.

Updates documentation to describe the injected CIP-0103 provider as the default Counter dApp to Carpincho connection path, with WalletConnect kept as an optional fallback.

Changes

• Updated root architecture and quick-start docs.
• Updated Carpincho, Counter, connect kit, and wallet-service docs.
• Marked WalletConnect env examples as optional fallback config.

Acceptance criteria

• Docs describe injected provider as primary dApp connection path.
• WalletConnect is documented as optional fallback.
• Reown project id is not required for the extension provider path.

Test plan

Automated tests

Not run. Documentation-only change.

Manual verification

• Ran git diff --check.
• Searched docs/env examples for stale WalletConnect-primary wording.

Breaking changes

None.

Checklist

• Self-reviewed my own diff
• Tests added or updated (not applicable: docs-only change)
• Docs updated (if applicable)
• No unrelated changes bundled in

Screenshots

None.

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Project	Deployment	Actions	Updated (UTC)
carpincho-wallet	Ready	Preview, Comment	May 29, 2026 8:29pm