Refactor inline query handling by introducing a dedicated HandlerTypeInlineQuery

[MatinHAB05]

Description

Currently, the sample implementation for handling inline queries provided in the examples/ directory feels messy. Treating inline queries without a explicit, dedicated handler type makes the code harder to maintain and less idiomatic.

Proposed Solution

To provide a cleaner API and a more logical developer experience, I propose introducing a dedicated HandlerType specifically for inline query interactions.

Key Changes:

1. Add HandlerTypeInlineQuery: Define a new HandlerType constant specifically for inline queries.
2. Update Routing Logic: Add a new case for HandlerTypeInlineQuery inside the internal match function to handle inline query routing properly.