fix(desktop): keep catch-up reachable for buffered messages #22903

Job	Run time
Dead Token Reference Guard	7s
Detect Changed Paths	36s
Desktop Build (macOS)	8m 49s
Desktop Smoke E2E (2)	14m 47s
Desktop Core	19m 53s
Desktop Windows Build	1m 52s
Desktop Smoke E2E (3)	19m 12s
Desktop Smoke E2E (1)	16m 56s
Desktop E2E Relay	18s
Desktop Smoke E2E (4)	17m 9s
Web	0s
Mobile Swift	0s
Security	0s
Windows Rust (x86_64-pc-windows-msvc)	0s
Rust Lint	0s
Unit Tests	0s
Server Cross-Compile	0s
Mobile	0s
Desktop E2E Integration (1/2)	6m 52s
Desktop E2E Integration (2/2)	7m 30s
Backend Integration (relay e2e)	0s
Relay E2E	0s
Desktop E2E Integration	4s
Desktop	4s
	1h 54m 9s

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