WebAssembly: fix the mouse issues when toggling the vsync mode and switching to full screen mode #13040

Job	Run time
Code style check / Code style check	7s
IWYU / IWYU	3m 13s
MSVC / MSVC (SDL2 x86)	4m 14s
CodeChecker / CodeChecker	31m 1s
MSVC / MSVC (SDL2 x64)	4m 10s
SonarCloud Analyzer / SonarCloud Analyzer	0s
Make / Make (PS Vita)	9m 55s
Make / Make (Linux x86-64 SDL2 Release)	2m 43s
Make / Make (Linux x86-64 SDL2 Debug)	4m 18s
Make / Make (Nintendo Switch)	3m 14s
Make / Make (Linux ARM64 SDL2 Release)	2m 26s
Android / Android	9m 12s
Make / Make (Linux ARM64 SDL2 Debug)	3m 1s
Make / Make (macOS SDL2)	2m 13s
CMake / CMake (Linux SDL2)	2m 16s
CMake / CMake (Windows SDL2)	5m 1s
Make / Make (Emscripten)	6m 44s
Make / Make (macOS SDL2 App Bundle)	1m 35s
CMake / CMake (macOS SDL2)	1m 49s
CMake / CMake (macOS SDL2 App Bundle)	1m 37s
	1h 38m 49s

Provide feedback