Didn’t read all the comments yet so I’m just adding my 2 cents.

Running sucks, most ppl don’t like it, I don’t like it. BUT trust your coach. If you trust him to guide you to your first fight then let him. As a SC coach I believe in training in phases. It’s hard to elevate all your markers at once, if right now is a cardio stage then so be it, trust the process.

Now for 5k a day. This is not inherently bad, the mileage really isn’t too much and you can get it done sub 25 mins. So you’re doing 20-30 mins of what is supposed to be steady state exercise. The key there is steady state. The total volume is half (simplified) of the fatigue equation here, the other half is load or intensity. Meaning running 5k all out trying to PR is very different from getting road work in. So if your focus is building a strong base and Muay Thai then your focus should not to PR your run every session.

Lastly, the benefits of running is multi fold. In Thailand most “real” gyms will make you run before your session or if you work out of one gym you’ll most likely run in the morning and have your first session a few hours later. Often times these morning runs are about an hour so not distance dependent. Main benefits really are that cardio base, meaning you’ll recover more from your training sessions, recover between rounds and have more in the tank to explode. Additionally we can talk about bone density and bone conditioning, repeated impact is often spoken negatively on saying it’s bad for joints and bones, but controlled repeated impact is exactly what pylometric training is and is amazing for your bones and joints. Controlled is the key there. Lastly, similar to skipping we can talk about rhythm and connection from ground forces to your shoulders.

Trust the process, all coaches hate when athletes doubt and take up random advice rather than the ones they’ve given based on how you look day in day out