WebAssembly: fix the mouse issues when toggling the vsync mode and switching to full screen mode #13004

Job	Run time
Code style check / Code style check	9s
IWYU / IWYU	3m 8s
SonarCloud Analyzer / SonarCloud Analyzer	0s
CodeChecker / CodeChecker	30m 31s
MSVC / MSVC (SDL2 x86)	4m 8s
MSVC / MSVC (SDL2 x64)	4m 14s
CMake / CMake (Windows SDL2)	4m 42s
Android / Android	9m 18s
CMake / CMake (Linux SDL2)	2m 59s
Make / Make (Linux x86-64 SDL2 Release)	2m 40s
CMake / CMake (macOS SDL2)	1m 40s
Make / Make (Linux x86-64 SDL2 Debug)	6m 38s
Make / Make (Linux ARM64 SDL2 Release)	4m 21s
CMake / CMake (macOS SDL2 App Bundle)	2m 6s
Make / Make (PS Vita)	9m 5s
Make / Make (Linux ARM64 SDL2 Debug)	5m 12s
Make / Make (Emscripten)	6m 42s
Make / Make (macOS SDL2)	3m 37s
Make / Make (macOS SDL2 App Bundle)	1m 54s
Make / Make (Nintendo Switch)	3m 10s
	1h 46m 14s

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