Playing games almost always pushes computers to their limits, but it should never get so hot as to incur thermal shutdown.
I would suggest you first clean the airways and fan inside as well as you can - a vacumn cleaner, a soft brush and a can of compressed air are the recommended tools. Just be careful that you use a bit of wire or plastic rod or similar to stop the fan spinning when you are blowing it out. Then put the base plates back on and see if there is any improvement.
If there isn't, then the next thing is to check that the fan(s) is/are working. If there is a problem here, replacements seem to be readily available.
And if the fan is working and it is still overheating, then you will have to look at the heatsink compound between the processor and its heatsink. This can dry up and lose efficiency. However this requires that you remove the fan and dismount the heatsink from the processor. You may or may not feel confident that you have the necessary skills to do this yourself, and I would say 'If in doubt, don't !'. If you search on YouTube for 'R423 stripdown' or 'R423 teardown' you should find videos on what is involved. Have a look before you start on this operation if it is necessary.
I had a look at your Speccy report and the temperatures it shows are fairly nominal for a laptop - you obviously hadn't just disconnected from 'Minecraft'. It would have been more useful if you had.