Syncing boards across accounts/organisations

I work with a lot of external partners, and recently one shared their Monday board with me. If I choose to work in their board (in their org’s account) I need to switch to it to see my tasks there (another inbox to check), and so would prefer to work in my own board (in our org’s account) so my tasks are in “My Work”.

As a resutl we’re working across two boards, which isn’t efficient. Some kind of sync/automation connection created between boards across two accounts/organisations to solve for having to work in both accounts separately would be good.