Rapidly switching weapons in the shooting mode break the weapon switching animation in the Third Person Multiplayer template

How to reproduce:
1. Create a new Multiplayer Third-Person template
2. Open the "[BB] Shooter" scene
3. Enter the Play Mode
4. Switch to the shooting mode, and press the "2" or "1" keys rapidly to switch weapons
5. Observe the results

Expected results: The animation doesn't play
Actual results: Weapon switching animation starts to play from the beginning

Reproducible with: 6000.3.1f1 

Reproducible on: macOS Tahoe 26 (M1)
Not reproducible on: No other environment tested