chore: hide icon when removing profile image #4055

Job	Run time
Format (Cargo)	9s
Lint (Biome)	11s
Typecheck	1m 13s
Build Desktop (x86_64-pc-windows-msvc, windows-latest)	6m 59s
Format (Biome)	6s
Detect Changes	7s
Build Desktop (aarch64-apple-darwin, macos-latest)	5m 8s
Clippy	0s
Verify Tauri plugin versions	0s
	13m 53s

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