Agreed. I'm also 37, just arrived back in Australia on Sunday from our Camino Lebaniego and on Monday I was back to work. Must admit I had a 36-hour flight to "de-camino" my mind, but physically I was great.
As others have pointed out, the hardest part will be to focus on the conference and not to want to talk about the Camino to everyone.
With your timeframe, you will have plenty of time to finish your camino, enjoy Santiago, go back to Porto and then back to work. If you are relatively healthy, you should each Santiago after 10-12 days after leaving Porto, which will give you enough time to rest body and mind.
I did the same route in 2017 and loved every second of it. Enjoy!