Are you going to run your kitchen hood exhaust through your HRV? I don't think that is an approved configuration because of the grease in the exhaust. Let's assume you don't for the 2nd part of this answer.

An HRV tries to recover heat from air exhausted through the HRV and use it to warm incoming air. When running your kitchen hood, no air will be exhausted through the HRV so the HRV will be acting like an open window: fresh air will come in through it but it will not be warmed.

During a cold winter, I assume you would find this situation (cold outside air distributed through your house) to be uncomfortable and undesirable.

All the literature I have seen assumes you want to take the cold outside air, hundreds of CFM, and heat it up to 70F so that you can turn around and blow it outside. Equipment capable of doing this is expensive and it seems wasteful of energy.

In my house, I have two windows right next to the hood and I just open the windows when I use the hood. Outside air comes in, mixes with the cooking fumes and goes right out. Standing in front of the range is a little colder than the rest of the house but at the same time, you have the heat from the range so it's not a big deal in my experience.

The bottom line is to consider if you want to heat your makeup air and if not, bring it in as close to the hood as possible, but in a way that helps capture the cooking fumes and doesn't just bypass the range.

Your condo violates Code and is unsafe, and your HOA consists of idiots

First off -- your condo's existing setup, with a recirculating hood over a domestic gas appliance, is quite clearly a Code violation and a flagrant safety hazard, as IFGC 503.3 strictly prohibits the recirculation of gas appliance exhaust due to the unacceptable CO buildup that would otherwise occur:

503.3 Design and construction Venting systems shall be designed and constructed so as to convey all flue and vent gases to the outdoors.

Second, that ceiling exhaust in the laundry room likely was installed to service the dwelling unit -- you'd need to replace that ventilation system in order to reuse the existing exterior penetration for the range hood duct, and that leaves you back where you started.

However, if you can have an engineer analyze your ventilation situation as per Chapter 4 of the IMC and determine that the vent fan in the laundry room is indeed not necessary to provide Code-compliant ventilation to the dwelling unit as a whole, then you can disconnect the ductwork from the laundry room vent fan and reuse that penetration for the range hood, provided that the duct meets the conditions given in IMC 505.1 for domestic range hood ducts:

505.1 Domestic systems Where domestic range hoods and domestic appliances equipped with downdraft exhaust are located within dwelling units, such hoods and appliances shall discharge to the outdoors through sheet metal ducts constructed of galvanized steel, stainless steel, aluminum or copper. Such ducts shall have smooth inner walls, shall be air tight, shall be equipped with a backdraft damper, and shall be independent of all other exhaust systems.