feat: basic entry data sync

[hyoban]

Description

PR Type

• Feature
• Bugfix
• Hotfix
• Other (please describe):

Screenshots (if UI change)

Demo Video (if new feature)

Linked Issues

Additional context

Changelog

• I have updated the changelog/next.md with my changes.

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[follow-reviewer-bot]

Suggested PR Title:

feat(entry): add Entry service and state management

Change Summary:
This PR introduces the Entry service and related functionalities, enhancing data handling and improved API integration for entries within the mobile app. It includes several modifications across multiple files, particularly the addition of a new service to manage entries and state management for entries using Zustand store.

Code Review:
No change requests necessary.