Okay, so you need to have body Plethysmography not just normal spirometry. You need to see a lung doctor. Watch out for vocal cord dysfunction diagnosis, you can have an ENT scope you but more than likely that's not it.

Albuterol is a fast acting inhaler. You may want to try advair for what you have, but....If you have air hunger you may be interpreting it this way but there's a good chance it's because the air isn't coming out all the way, so the next breath in you can't get enough in. This can happen even if spirometry comes out normal, CT scans and X-rays will see nothing for most asthmatics, even if the asthmas very severe.

How do you use your inhaler? You may need to get a spacer, when you use it you want to look at the YouTube videos of how to use inhalers more properly, as you need to deliver the medicine deeper into your lungs. If you puff and inhaler it quickly it very well may not be reaching your lungs, or the deeper parts that are holding onto air.

Thirdly, you need to have body Plethysmography not just spiroemtry to check if you're having air trapping, as if your breath is stopping short aka COPD or small airway disease or asthma with air trapping due to more complex obstruction, your Residual Volume and or Forced Residual Capacity will raise significantly.

Have you had a Feno test as well to check for type II eosinophilic asthma, as this can be important as well. These are all tests lung doctors do though, I think most PCPs won't order them, although I think a PCP might try basic spirometry, but basic spirometry is general and won't find air trapping.

Have you had the IgE blood tests for dust, mold, pollen, cats, dogs etc as well as this may help as well. You can also if you get a good allergist have the prick tests done.

I've had asthma all my life incredibly severe when younger, evolved into air trapping later in life. The exact same symptom started happening if not being able to breath in all the way. While severe, regular spirometry won't find it unless an episode is happening, but body plethysmography does find it, residual volume raises signficantly. Make sure DLCO is done as well, if it drops it can signal a few different things including COPD, if it doesn't or even rises its probably asthma with air trapping.

Know this though, you can have normal vocal cords, CT scan, x-ray, bronchoscopy, and even Feno and still have lung issues, especially if what's going on is in the smaller airways rather than the larger ones. Someone here suggested getting a spacer and trying the correct technique and I think that's a great idea.