Struggling with TypeScript declaration files has been a challenge for me

I'm encountering an issue with using the trace function in my TypeScript code. The function has been declared in a .d.ts file as shown below:

declare function trace(arg: string | number | boolean);
declare function trace(arg: { id: number; name: string });

Despite this, when I attempt to utilize the trace function in my index.ts file like this:

trace("trace with string"); // calls the trace function with a string argument
trace(true); // calls the trace function with a boolean argument
trace(1); // calls the trace function with a number argument
trace({ id: 1, name: "test" }); // calls the trace function with an object argument

An error occurs:

ReferenceError: trace is not defined

I have enabled the declaration option in tsconfig.json. Can someone please assist me in identifying what mistake I might be making?

Thank you for your help.

EDIT:

Below is the JavaScript code in a JS file where the trace function is implemented

var ErrorHelper = (function () {
    return {
        containsErrors: function (response) {
            if (!response || !response.responseText)
                return false;

            var errorValue = response.responseText;

            if (String(errorValue.failure) === "true"
                || Boolean(errorValue.failure)) {
                return true;
            }
            return false;
        },
        trace: function (msg) {
            var traceMessage = msg;
            if (msg.responseText) {
                traceMessage = msg.responseText.errorMessage;
            }
            console.log("[" + new Date().toLocaleTimeString()
                + "] " + traceMessage);
        }
    }
})();

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