Any questions or comments on what I set out for you below?

Thanks for your answers. I've also been following your conversation with GearHead with interest. I think I have a decent understanding of what happening with you. My overarching comment is that you need to make some life-style adjustments or your health is only going to continue to suffer. The problem that you have is that much of the issues seems to stem from you not having a good enough work/life balance. It is a daunting task facing up to this but as I very senior executive myself I encourage you to have an open and honest conversation with your company (your boss and HR) about addressing this point. It is in theie best interests to support you. If they're a good company they will understand this and if not well you have choice.

This is what I think you need to do.

Step 1 address your diet
This is critical. Your nutrition is the cornerstone upon which everything else rests. If this is not right then everything else will suffer and become much harder than it needs to be.

For your stats and assuming you can get to the gym and meaningfully lift 3 times per week your Total Daily Energy Expensiture (TDEE) is approximately 3500 calories per day. From what I've read I suspect you are eating on overage well in excess of this and your activity is too low to support this intake (nevermind the choice of foods (your macros) are likely poor. We need to get you into a moderate deficit to see you losing weight. So we will subtract 500 calories per day from there to get you to 3000 calories per day. This need to be made up of the following macros - Protein 250g, carbs 250g and fats 110g. You are going to need to start tracking everything you eat and drink. Now my concern here is given your work requirements I am worried this may be too much for you to manage. I am not sure we're you live but perhaps you can look into a food prep service that prepares your meal for you for each day of the week. You mentioned you go out a lot to eat with clients etc and travel so this needs to be factored in. There is unfortunately no easy way around this. If you are going to do all your own food prep then make sure you are chosing only whole food options for your sources of food. So lean meats and fish for protein (and some of your fats), low GI sources of carbs (lots of vegetables, some fruit, oats, sweet potato, butternut etc). For fats good fats from avocado, coconut oil, nuts etc it perfect. What you want to be doing is limiting the amount of processed food you're eating and remove high GI and/or sugary carbs and no bad fats. When you're out with clients you will need to make careful food choices and special requests to help limit the damage done here. Cut out any alcohol - even the couple of beers you're having and don't drink on your work dinners. These are empty and useless calories that will make you and keep you fat.

Step 2 - Training and exercise
We have to get you consistently training and your activity up to support your fat/weight loss and general health. Given you can only lift 3 times per week this is what I suggest:
Day 1
Flat Bench Press 5 sets x 5 reps as heavy as possible without compromising form
Back Squat 5 sets x 5 reps as heavy as possible without compromising form
Dead lifts 5 sets x 5 reps as heavy as possible without compromising form
Incline dumbbell flies 3 sets x 8 - 12 reps
Bent over row 3 sets x 8 - 12 reps
Tricep pushdown 3 sets x 8 - 12 reps

Day 2
Flat Bench Press 5 sets x 5 reps as heavy as possible without compromising form
Back Squat 5 sets x 5 reps as heavy as possible without compromising form
Dead lifts 5 sets x 5 reps as heavy as possible without compromising form
Leg curls 3 sets x 8 - 12 reps
Leg extensions 3 sets x 8 - 12 reps
Calf raises 3 sets x 8 - 12 reps

Day 3
Flat Bench Press 5 sets x 5 reps as heavy as possible without compromising form
Back Squat 5 sets x 5 reps as heavy as possible without compromising form
Dead lifts 5 sets x 5 reps as heavy as possible without compromising form
Seated dumbbell shoulder press 3 sets x 8 - 12 reps
Lat pull downs 3 sets x 8 - 12 reps
Standing barbell bicep curls 3 sets x 8 - 12 reps

This should get your started and into a lifting regime. I would run this for 8 weeks minimum and focus on your form and progressively overloading your weights by slowly increasing your weights so you can get through all the sets and reps and not fail. Record everything so you can track your progress.

Cardio - you need to start by doing low impact steady state cardio as often as possible. I suggest 4 times minimum per week but you can do this everyday of IU can. What I find works best for many who struggle with time is to make this part of their daily commute. So plan it out so that you can do a fast walk for 40 mins to and hour on an empty stomach on your way to work.

Step 3 - stress reduction
Taking the above two steps will help you have better control of your life and getting exercising will help with reducing your stress levels. That said you need to have the conversations with your employer about what is happening with your health and wellbeing. And they should support you in whatever way I can allowing you to work fewer hours and or giving you additional support/resources to better manage your bandwidth. If they're smart they will realise it could cost them more long term in not addressing this with you now. The goal here is for you to have time to eat properly and consistently (not out so much), reduce your hours in the office/working, ensure you have time to exercise and time away from the office on weekends and in the evenings to recharge and rest.

These steps do not need to be sequential or done in a particular order. The sooner you get all this in place the sooner you will address you're personal health and wellbeing and in a roundabout way you become more resilient and more productive in the long term. This with the trt program the doctor is putting you on should see well on your way to a better and healthier life.

Good luck and I'm happy to help with any advice I can offer.

Edit - apologies for all the spelling and grammatical errors. I'm typing this on my phone.