Integrate iCal 2 way sync into wordpress theme via plugin

Using the Voxel theme for wordpress they have a booking functionality built in that stores the booked dates within a meta field as json data.

I need to build a plugin that will add the ability for two way iCal calendar sync so that properties that are added to the platform if booked online elsewhere will be shown as booked on the wordpress site and vice versa, if booked on the wordpress site the shared iCal will update the other platforms so the availability is always accurate.

It will require a shortcode and or elementor widget building that will allow the input of a control so the user can enter a ical link and also export an ical link for each listing and also manage the ical link by removing it etc.

This should then send/receive the relevant data and update the listing accordingly.