And the best solution (if it works):
You could even define a shortcut with an automation "when my iDevice connects to any wifi network" with actions:
get wifi name
copy it into a file (in Shortcuts folder)
This shortcut will run in background.
Your script, when it needs this wifi name, should only read this file (in external Shortcuts folder ) and should get the current wifi name.
To be tested, obviously
Édit: automation works, at each network update, not tested with a file but with clipboard