I am working on GabrielAI, which is a tool to filter and autodraft reply for Gmail and outlook and of course it uses LLM under the hood.
In cases like this the author could just set up a filter like:
"If the email contains a task for me" (or some variation)
Then add a Gmail label to it.
In this way the author will immediately find all the actionable emails for him in a specific folder, much faster to skim and to keep track of all of them.
Another option would it be to have GabrielAI generate a Draft like "reply acknowledging the task and put a to-do date in the email in 1 week"
This would allow Google to track the email and the deadline.