Add a different Spanish definite article to a cross-reference depending on the kind of theorem it refers to

I’m using the package cleveref to automatically print the name of the kind of "theorem" of a reference via the Cref macro. Since I’m writing in Spanish, the most natural way to refer to a theorem is by adding a definite article before the reference (that is, I want to refer to "the Theorem 1.1" instead of just "Theorem 1.1"). The problem is that in Spanish, the form of the definite article depends on the grammatical gender of the word it modifies.

So let’s say I have something like this:

documentclass{article}
usepackage[spanish]{babel}
usepackage{ifthen}
usepackage{amsthm}
usepackage{cleveref}

theoremstyle{definition}
newtheorem{teo}{Teorema}
newtheorem{prop}{Proposición}

begin{document}

    begin{teo} label{first}
        A theorem
    end{teo}

    begin{prop} label{second}
        A proposition
    end{prop}
    
    El Cref{first}, el Cref{second}.

end{document}

The output looks like this:

Teorema 1. A theorem
Proposición 1. A proposition
    El Teorema 1, el Proposición 1.

"teorema" means ‘theorem’, "proposición" means ‘proposition’, and "el" means ‘the’. However, since "proposición" is a feminine noun, it takes the feminine article "la" instead of "el". So the last line should be El Teorema 1, la Proposición 1. I want a way to do this automatically, so that somemacro{ref} prints el Teorema n if the ref points to a theorem and la Proposición n if ref points to a proposition. I tried adding the following to the preamble:

newcommand{ElCref}[1]{% capitalized
    ifthenelse{%
        equal{nameCref{#1}}{Proposición}%
    }{%
        La Cref{#1}%
    }{%
        El Cref{#1}%
    }%
}
newcommand{elCref}[1]{% non-capitalized
    ifthenelse{%
        equal{nameCref{#1}}{Proposición}%
    }{%
        la Cref{#1}%
    }{%
        el Cref{#1}%
    }%
}

and then ElCref{first}, elCref{second}. inside the document. However, this produces the same output as before. More specifically, it looks like ifthenelse{equal{nameCref{ref}}{Name}}{1}{0} always evaluates to 0, even though nameCref seems to be working fine. I gather this probably has to do with how TeX does string comparisons, but I don’t know enough to figure out how to fix it.

documentclass{article}
usepackage[spanish]{babel}
usepackage{amsthm}
usepackage{cleveref}

newtheorem{teo}{Teorema}
newtheorem{prop}{Proposición}

Crefformat{teo}{El #2teorema~#1#3}
crefformat{teo}{el #2teorema~#1#3}
Crefformat{prop}{La #2proposición~#1#3}
Crefformat{prop}{la #2proposición~#1#3}


begin{document}

begin{teo} label{first}
A theorem
end{teo}

begin{prop} label{second}
A proposition
end{prop}
    
Cref{first}, cref{second}.

end{document}

crefformat{teo}{el teorema} 
Crefformat{teo}{El teorema}