Unification of wallet connection code between normal and Prividium mode

[tomimor]

🌟 Feature Request

📝 Description

Unify the wallet connection code across normal and Prividium use cases in the Block Explorer. This involves consolidating duplicate code and implementing a standardized approach for wallet connections.

🤔 Rationale

Currently, there is code duplication in the wallet connection implementation between normal and Prividium use cases. Unifying this code will:

• Reduce maintenance overhead
• Ensure consistent behavior across different use cases
• Prevent potential inconsistencies in wallet connection handling

📋 Additional Context

Originally posted by @JackHamer09 in https://github.com/matter-labs/block-explorer/pull/430#discussion_r2098648839