If you search the forum for “running profile” you’ll find various topics discussing the pros and cons of mixing run data with a cycling profile such as this recent thread.
To pin an activity to a Forecast AI calendar, use Choose Training to associate the activity with the forecast entry, then select the pin 
icon (mouseover in desktop view).
Adapt Forecast will retain any pinned entries and work around them.
This would be a week-by-week process.
An alternative would be to mark Tue, Wed, Fri, Sun as Unavailable in your cycling profile for the duration of the forecast plan and track runs in a separate profile.