I have this program that claims to determine if DOSBOX is installed on the system regardless of the location of the executable folder

@echo off
setlocal EnableDelayedExpansion

echo Search DOSBox

REM Búsqueda en registro de 32 bits
set "FOUND=0"
for /f "tokens=2 delims==" %%a in ('wmic product where "name like '%%DOSBox%%'" get name /value 2^>nul') do (
    echo DOSBox encontrado: %%a
    set "FOUND=1"
)

REM Búsqueda en registro de 64 bits
if %FOUND%==0 (
    for /f "tokens=2 delims==" %%a in ('wmic product where "name like '%%DOSBox%%'" get name /value 2^>nul') do (
        echo DOSBox encontrado: %%a
        set "FOUND=1"
    )
)

REM Búsqueda adicional por nombre parcial
if %FOUND%==0 (
    for /f "tokens=2 delims==" %%a in ('wmic product where "name like '%%DOS%%'" get name /value 2^>nul') do (
        echo Posible DOSBox encontrado: %%a
        set "FOUND=1"
    )
)

if %FOUND%==0 (
    echo DOSBox NO está instalado en el sistema.
) else (
    echo DOSBox está INSTALADO en el sistema.
)

pause

The problem is that it always says it is not installed when it is. How can I fix the algorithm so that it always gives the correct answer?