Surface Pro 7 Overheating when charging

I just purchased mine from Costco on 3/20/21 - Surface Pro 7 10th Gen i7  256GM * go, 16GB - Go Ram including detachable keyboard.  Lot 2033.

I liked the idea of the removeable keyboard so I can handle it like a tablet when needed and it will be lightweight.  The problem is it is getting too hot to comfortably hold it with one arm on the backside. 
Now I am afraid of getting a case for it, afraid it will over-heat all the time.
Anyone have experience with using a case and if that affects the heat level.  I just cancelled my online purchase of the case just in case I end up returning the unit and getting a different brand as I see people had multiple with the same issue.

Microsoft will not issue a recall. It would cost them all of the profit they made selling it. They dont care if they lose a few thousand customers....they have millions of them and billions and billions of dollars in reserves. All they have to do is put a sale on and more suckers come pouring in. The only recourse we have is to vent on venues like this one and swear off buying any other microsoft products.

I purchased Microsoft Surface Pro 7 almost 5-6 months ago. Since last couple of weeks, I am experiencing the exact same issue as explained here. Getting super hot when it's in charging and as soon as charge plug off, it starts cooling down. While using during charging, many applications to be precise, Microsoft OneNotes crashed and I have to restart the device. This is very much annoying as many times it doesn't save the file I am working on.

Microsoft is very well known and one of the trustworthy brand in the market. But this issue makes me re-think on it. 

Did anyone find the solutions or replacement? Any Recall by company? 

I haven’t seen any recalls yet but I’m also having the issue of certain apps flashing on and off before my device restarts. All updates are complete and it hasn’t been resolved.

Experiencing the same thing.  Overheating and using battery saver mode.  And updates are installed.  

This is definitely going to be my only Microsoft laptop. Can’t even use Corel painter without the battery feeling like it’s going to make my computer overheat and cause a fire.  

Microsoft needs to loom into not only battery replacements but compensation for users who will have to get these batteries replaced due to needing laptops for work and school.  

Seriously disappointing 

I agree. I was so excited to get the surface Pro and I truly regret not going with Apple again. I’ve had nothing but problems. The red camera light often stays on and won’t turn off.