fix(desktop): await WebView recovery cleanup #5222

Job	Run time
Frontend Build	2m 48s
DSH Profile Packaging (windows-latest)	52s
Shell Deploy Scripts	3m 7s
Rust / CLI Impact	3m 7s
Rust / CLI Validation	5s
CLI Tests (${{ matrix.os }})	1s
Rust Build Check (${{ matrix.os }})	1s
	10m 1s

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