I have similar issue, but another precompiled manifest.
Missing precompiled manifest for ‘Launch’, ‘C:\Program Files\Epic Games\UE_5.1\Engine\Intermediate\Build\Android\arm64\UnrealGame\Development\Launch\Launch.precompiled’. This module was most likely not flagged for being included in a precompiled build - set ‘PrecompileForTargets = PrecompileTargetsType.Any;’ in Launch.build.cs to override. If part of a plugin, also check if its ‘Type’ is correct.
UPD. Tnx! Your script solved it.