Running in-line babel code at auto-insert template file open

[Lawrence Bottorff <borgauf@gmail.com>]

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Let's say I have a standard org file I want to have created multiple times.
I've created a template file and told Emacs autoinsert where it is. Here's
the relevant in my init

(use-package autoinsert
  :ensure t
  ...
  :config
  (define-auto-insert "poolchem.org?$" "poolchem.org"))

So in this template file poolchem.org I have six table skeletons, but I
also want various customized additions. For example, I would like the table
names to reflect the current week starting with the coming Sunday's date

#+tblname: pc1-*src_emacs-lisp[:results raw]{(org-read-date nil nil "++sun"
nil (org-time-string-to-time "2020-02-24"))}*

which would hopefully show up in the newly created buffer as

#+tblname: pc1-2020-03-01

But then nothing of the sort happens, i.e., the in-line code just comes
back verbatim when I create a new file, unevaluated. I guess I'm totally
missing what is going on with in-line code. It seems other methods of
template creation allow code to be embedded, then to be evaluated. (The
variable auto-insert-alist has entire templates.) I've experimented with
eval of org-sbe in # local variables: ... but that was for running code
blocks upon file open, not individual embedded functions that would
customize my newly created org file. Any ideas?

LB

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