fix: Claude client icon resolving #220

Job	Run time
ts-check	3m 6s
rust-check	1m 20s
rust-test (windows-latest, x86_64-pc-windows-msvc)	6m 3s
rust-test (ubuntu-latest, x86_64-unknown-linux-gnu)	2m 52s
rust-test (macos-latest, aarch64-apple-darwin)	2m 49s
build	17m 15s
e2e-web	2m 8s
coverage-report	8s
e2e-desktop / e2e-desktop (ubuntu-latest)	14m 36s
e2e-desktop / e2e-desktop (windows-latest)	22m 57s
test-report	8s
e2e-desktop / e2e-report	11s
	1h 13m 33s

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