Depends on what you did with your cash. If you wasted it on something (perceived as) 'stupid' then your stock price would go down, lowering your market cap and your enterprise value would stay the same. If however you invested that cash into something perceived as 'smart' then your company will now be better off in some dimension, and thus it makes sense that your company will be worth more.
Equally if you are able to take on a lot of debt without it lowering your stock price then that means that the market thinks you're going to use that new money in a smart way to grow your companies value and thus your company is more valuable. If the market didn't believe you would use the debt wisely, taking on debt will lower your stock price.
In the real world you effectively cannot change the amount of cash or debt you have without it affecting your market cap in some way, as all three are tied together in complex ways and this model doesn't offer any insight into how changing one value will affect the others or the overall value going forwards. Think of Enterprise Value just as the price tag of a company at any given moment in time.
Gotcha. To go back to the article, it compares Tesla vs Toyota's market cap (558 vs 329) and then their enterprise value (553 vs 466) and concludes that if we look at EV then Toyota has almost caught up. What this reveals is that the market has decided that Toyota is in a good position ("valuable") because they have a market cap reasonably close to Tesla despite a lot more debt, so there is inherently some extra value in Toyota (according to the market) not captured by just looking at the diff between Tesla and Toyota market cap. It also reveals that Toyota believes they're undervalued which is why they're using debt financing instead of shares, whereas Tesla thinks the opposite.
Equally if you are able to take on a lot of debt without it lowering your stock price then that means that the market thinks you're going to use that new money in a smart way to grow your companies value and thus your company is more valuable. If the market didn't believe you would use the debt wisely, taking on debt will lower your stock price.
In the real world you effectively cannot change the amount of cash or debt you have without it affecting your market cap in some way, as all three are tied together in complex ways and this model doesn't offer any insight into how changing one value will affect the others or the overall value going forwards. Think of Enterprise Value just as the price tag of a company at any given moment in time.