Hi Juan,
Yes, it does sound like the core is plugged up, I would check the coolant level first though and if it okay, I would remove the heater hoses and use a garden hose to help flush the core out. Be careful not to over pressurize the core.
Here is a guide that may help as well:
https://www.2carpros.com/articles/car-heater-not-working
Let us know what happens and please upload pictures or videos of the problem.
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Monday, December 26th, 2022 AT 6:12 PM