I am interested in constructive quantum field theory where Gaussian measures on duals of nuclear spaces (specifically, the space of tempered distribution $\mathcal{S}'(\mathbb{R}^n)$) play a key role. I would like to learn more about these measures so I can read some of the CQFT literature.

There is an older post (Measure theory in nuclear spaces) that asks for a similar reference and I have gone through most of the references suggested there. I have read Gelfand's book, and though the exposition is great, I find it presents the material in a way that is no longer standard today (please correct me if I am wrong here). I have also read the section suggested in B. Simon's book, but it was not much more than a very quick introduction.

As part of my search I have found a number of references that go over Gaussian measures in great depth, such as books by Bogachev or Strook. However these books go in much more detail than I need.

To summarize the above, I am looking for a good reference that goes into as much detail as necessary so that one can begin reading the CQFT literature right after. If this does not exist, can someone suggest what topics are needed in Gaussian measure theory for my goal?