fix(input): prevent recursive throttling loop in InputHandler

[Akash504-ai]

Addressed Issues:

Fixes # (InputHandler throttling recursion issue)

Description

This PR fixes a recursion issue in the InputHandler throttling logic.

Previously, throttled "move" and "scroll" events were reprocessed using the same handleMessage method without distinguishing internal calls. This caused repeated re-throttling, leading to potential recursive loops, delayed execution, and degraded responsiveness under high-frequency input.

Fix implemented:

• Introduced an internal flag in handleMessage
• Throttling is now applied only to external messages
• Deferred (throttled) messages bypass throttling when executed

Impact:

• Prevents recursive throttling loops
• Improves responsiveness and stability of input handling
• Ensures predictable behavior under rapid input events

Screenshots/Recordings:

N/A (internal logic fix)

Functional Verification

• Please check off the behaviors verified with this change.

Screen Mirror

• Screen MIrror works.

Authentication

• Connection doesn't work without a valid token.

Basic Gestures

• One-finger tap: Verified as Left Click.
• Two-finger tap: Verified as Right Click.
• Click and drag: Verified selection behavior.
• Pinch to zoom: Verified zoom functionality (if applicable).

Modes & Settings

• Cursor mode: Cursor moves smoothly and accurately.
• Scroll mode: Page scrolls as expected.
• Sensitivity: Verified changes in cursor speed/sensitivity settings.
• Copy and Paste: Verified both Copy and Paste functionality.
• Invert Scrolling: Verified scroll direction toggles correctly.

Advanced Input

• Key combinations: Verified "hold" behavior for modifiers (e.g., Ctrl+C) and held keys are shown in buffer.
• Keyboard input: Verified Space, Backspace, and Enter keys work correctly.
• Glide typing: Verified path drawing and text output.
• Voice input: Verified speech-to-text functionality for full sentences.
• Backspace doesn't send the previous input.

Any other gesture or input behavior introduced:

• New Gestures: Verified any other gesture or input behavior introduced in this PR.

Additional Notes:

Changes are limited to InputHandler logic
No API or external behavior changes
Backward compatible with existing system

Checklist

• My PR addresses a single issue, fixes a single bug or makes a single improvement.
• My code follows the project's code style and conventions
• I have performed a self-review of my own code
• I have commented my code, particularly in hard-to-understand areas
• If applicable, I have made corresponding changes or additions to the documentation
• If applicable, I have made corresponding changes or additions to tests
• My changes generate no new warnings or errors
• I have joined the community and I will share a link to this PR with the project maintainers there
• I have read the contributing guidelines
• Once I submit my PR, CodeRabbit AI will automatically review it and I will address CodeRabbit's comments.
• Incase of UI change I've added a demo video.

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📥 Commits

Reviewing files that changed from the base of the PR and between 782183e and f50eba6.

📒 Files selected for processing (1)

• src/server/InputHandler.ts

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